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Finding the Third Proportional to 63,381 and 137,711

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Solution

The third proportional to 63,381 and 137,711 is: 299,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,381 : 137,711 = 137,711 : x
  2. Step 2: Convert to fraction form
    63,381/137,711 = 137,711/x
  3. Step 3: Cross multiply
    63,381x = 137,711 × 137,711
  4. Step 4: Simplify right side
    63,381x = 18,964,319,521
  5. Step 5: Solve for x
    x = 18,964,319,521/63,381
  6. Step 6: Final answer
    x = 299,211.43

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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.