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Finding the Third Proportional to 77,662 and 169,864

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Solution

The third proportional to 77,662 and 169,864 is: 371,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,662 : 169,864 = 169,864 : x
  2. Step 2: Convert to fraction form
    77,662/169,864 = 169,864/x
  3. Step 3: Cross multiply
    77,662x = 169,864 × 169,864
  4. Step 4: Simplify right side
    77,662x = 28,853,778,496
  5. Step 5: Solve for x
    x = 28,853,778,496/77,662
  6. Step 6: Final answer
    x = 371,530.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.