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Finding the Third Proportional to 65,691 and 141,864

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Solution

The third proportional to 65,691 and 141,864 is: 306,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,691 : 141,864 = 141,864 : x
  2. Step 2: Convert to fraction form
    65,691/141,864 = 141,864/x
  3. Step 3: Cross multiply
    65,691x = 141,864 × 141,864
  4. Step 4: Simplify right side
    65,691x = 20,125,394,496
  5. Step 5: Solve for x
    x = 20,125,394,496/65,691
  6. Step 6: Final answer
    x = 306,364.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.