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Finding the Third Proportional to 39,857.39 and 87,489.80

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Solution

The third proportional to 39,857.39 and 87,489.80 is: 192,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,857.39 : 87,489.80 = 87,489.80 : x
  2. Step 2: Convert to fraction form
    39,857.39/87,489.80 = 87,489.80/x
  3. Step 3: Cross multiply
    39,857.39x = 87,489.80 × 87,489.80
  4. Step 4: Simplify right side
    39,857.39x = 7,654,464,557.23
  5. Step 5: Solve for x
    x = 7,654,464,557.23/39,857.39
  6. Step 6: Final answer
    x = 192,046.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.