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Finding the Third Proportional to 86,861 and 137,652

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Solution

The third proportional to 86,861 and 137,652 is: 218,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,861 : 137,652 = 137,652 : x
  2. Step 2: Convert to fraction form
    86,861/137,652 = 137,652/x
  3. Step 3: Cross multiply
    86,861x = 137,652 × 137,652
  4. Step 4: Simplify right side
    86,861x = 18,948,073,104
  5. Step 5: Solve for x
    x = 18,948,073,104/86,861
  6. Step 6: Final answer
    x = 218,142.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.