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Finding the Third Proportional to 65,215,494 and 140,645,407.50

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Solution

The third proportional to 65,215,494 and 140,645,407.50 is: 303,319,494.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,215,494 : 140,645,407.50 = 140,645,407.50 : x
  2. Step 2: Convert to fraction form
    65,215,494/140,645,407.50 = 140,645,407.50/x
  3. Step 3: Cross multiply
    65,215,494x = 140,645,407.50 × 140,645,407.50
  4. Step 4: Simplify right side
    65,215,494x = 19,781,130,650,841,056
  5. Step 5: Solve for x
    x = 19,781,130,650,841,056/65,215,494
  6. Step 6: Final answer
    x = 303,319,494.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.