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Finding the Third Proportional to 750,202,846,778 and 1,012,199,783,837.50

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Solution

The third proportional to 750,202,846,778 and 1,012,199,783,837.50 is: 1,365,695,167,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,202,846,778 : 1,012,199,783,837.50 = 1,012,199,783,837.50 : x
  2. Step 2: Convert to fraction form
    750,202,846,778/1,012,199,783,837.50 = 1,012,199,783,837.50/x
  3. Step 3: Cross multiply
    750,202,846,778x = 1,012,199,783,837.50 × 1,012,199,783,837.50
  4. Step 4: Simplify right side
    750,202,846,778x = 1,024,548,402,400,681,764,323,328
  5. Step 5: Solve for x
    x = 1,024,548,402,400,681,764,323,328/750,202,846,778
  6. Step 6: Final answer
    x = 1,365,695,167,381.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.