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Finding the Third Proportional to 137,872,371 and 298,721,904

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Solution

The third proportional to 137,872,371 and 298,721,904 is: 647,227,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,872,371 : 298,721,904 = 298,721,904 : x
  2. Step 2: Convert to fraction form
    137,872,371/298,721,904 = 298,721,904/x
  3. Step 3: Cross multiply
    137,872,371x = 298,721,904 × 298,721,904
  4. Step 4: Simplify right side
    137,872,371x = 89,234,775,929,385,216
  5. Step 5: Solve for x
    x = 89,234,775,929,385,216/137,872,371
  6. Step 6: Final answer
    x = 647,227,397.93

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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.