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Finding the Third Proportional to 81,864 and 169,552

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Solution

The third proportional to 81,864 and 169,552 is: 351,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864 : 169,552 = 169,552 : x
  2. Step 2: Convert to fraction form
    81,864/169,552 = 169,552/x
  3. Step 3: Cross multiply
    81,864x = 169,552 × 169,552
  4. Step 4: Simplify right side
    81,864x = 28,747,880,704
  5. Step 5: Solve for x
    x = 28,747,880,704/81,864
  6. Step 6: Final answer
    x = 351,166.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.