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Finding the Third Proportional to 39,781 and 85,987

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Solution

The third proportional to 39,781 and 85,987 is: 185,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,781 : 85,987 = 85,987 : x
  2. Step 2: Convert to fraction form
    39,781/85,987 = 85,987/x
  3. Step 3: Cross multiply
    39,781x = 85,987 × 85,987
  4. Step 4: Simplify right side
    39,781x = 7,393,764,169
  5. Step 5: Solve for x
    x = 7,393,764,169/39,781
  6. Step 6: Final answer
    x = 185,861.70

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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.