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Finding the Third Proportional to 63,472 and 139,402

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Solution

The third proportional to 63,472 and 139,402 is: 306,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,472 : 139,402 = 139,402 : x
  2. Step 2: Convert to fraction form
    63,472/139,402 = 139,402/x
  3. Step 3: Cross multiply
    63,472x = 139,402 × 139,402
  4. Step 4: Simplify right side
    63,472x = 19,432,917,604
  5. Step 5: Solve for x
    x = 19,432,917,604/63,472
  6. Step 6: Final answer
    x = 306,165.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.