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Finding the Third Proportional to 750,202,846,777.50 and 1,012,199,783,835

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Solution

The third proportional to 750,202,846,777.50 and 1,012,199,783,835 is: 1,365,695,167,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,202,846,777.50 : 1,012,199,783,835 = 1,012,199,783,835 : x
  2. Step 2: Convert to fraction form
    750,202,846,777.50/1,012,199,783,835 = 1,012,199,783,835/x
  3. Step 3: Cross multiply
    750,202,846,777.50x = 1,012,199,783,835 × 1,012,199,783,835
  4. Step 4: Simplify right side
    750,202,846,777.50x = 1,024,548,402,395,620,682,235,904
  5. Step 5: Solve for x
    x = 1,024,548,402,395,620,682,235,904/750,202,846,777.50
  6. Step 6: Final answer
    x = 1,365,695,167,375.83

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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.