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Finding the Third Proportional to 71,687 and 110,539

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Solution

The third proportional to 71,687 and 110,539 is: 170,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,687 : 110,539 = 110,539 : x
  2. Step 2: Convert to fraction form
    71,687/110,539 = 110,539/x
  3. Step 3: Cross multiply
    71,687x = 110,539 × 110,539
  4. Step 4: Simplify right side
    71,687x = 12,218,870,521
  5. Step 5: Solve for x
    x = 12,218,870,521/71,687
  6. Step 6: Final answer
    x = 170,447.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.