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Finding the Third Proportional to 137,872,373 and 298,721,908

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Solution

The third proportional to 137,872,373 and 298,721,908 is: 647,227,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,872,373 : 298,721,908 = 298,721,908 : x
  2. Step 2: Convert to fraction form
    137,872,373/298,721,908 = 298,721,908/x
  3. Step 3: Cross multiply
    137,872,373x = 298,721,908 × 298,721,908
  4. Step 4: Simplify right side
    137,872,373x = 89,234,778,319,160,464
  5. Step 5: Solve for x
    x = 89,234,778,319,160,464/137,872,373
  6. Step 6: Final answer
    x = 647,227,405.88

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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.