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Finding the Third Proportional to 81,666 and 108,711

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Solution

The third proportional to 81,666 and 108,711 is: 144,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,666 : 108,711 = 108,711 : x
  2. Step 2: Convert to fraction form
    81,666/108,711 = 108,711/x
  3. Step 3: Cross multiply
    81,666x = 108,711 × 108,711
  4. Step 4: Simplify right side
    81,666x = 11,818,081,521
  5. Step 5: Solve for x
    x = 11,818,081,521/81,666
  6. Step 6: Final answer
    x = 144,712.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.