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Finding the Third Proportional to 10,215,539 and 15,234,721

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Solution

The third proportional to 10,215,539 and 15,234,721 is: 22,719,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215,539 : 15,234,721 = 15,234,721 : x
  2. Step 2: Convert to fraction form
    10,215,539/15,234,721 = 15,234,721/x
  3. Step 3: Cross multiply
    10,215,539x = 15,234,721 × 15,234,721
  4. Step 4: Simplify right side
    10,215,539x = 232,096,723,947,841
  5. Step 5: Solve for x
    x = 232,096,723,947,841/10,215,539
  6. Step 6: Final answer
    x = 22,719,968.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.