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Finding the Third Proportional to 137,871,355.50 and 298,720,422

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Solution

The third proportional to 137,871,355.50 and 298,720,422 is: 647,225,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,871,355.50 : 298,720,422 = 298,720,422 : x
  2. Step 2: Convert to fraction form
    137,871,355.50/298,720,422 = 298,720,422/x
  3. Step 3: Cross multiply
    137,871,355.50x = 298,720,422 × 298,720,422
  4. Step 4: Simplify right side
    137,871,355.50x = 89,233,890,519,858,080
  5. Step 5: Solve for x
    x = 89,233,890,519,858,080/137,871,355.50
  6. Step 6: Final answer
    x = 647,225,743.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.