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Finding the Third Proportional to 85,680 and 133,987

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Solution

The third proportional to 85,680 and 133,987 is: 209,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,680 : 133,987 = 133,987 : x
  2. Step 2: Convert to fraction form
    85,680/133,987 = 133,987/x
  3. Step 3: Cross multiply
    85,680x = 133,987 × 133,987
  4. Step 4: Simplify right side
    85,680x = 17,952,516,169
  5. Step 5: Solve for x
    x = 17,952,516,169/85,680
  6. Step 6: Final answer
    x = 209,529.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.