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Finding the Third Proportional to 39,818.25 and 87,021

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Solution

The third proportional to 39,818.25 and 87,021 is: 190,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,818.25 : 87,021 = 87,021 : x
  2. Step 2: Convert to fraction form
    39,818.25/87,021 = 87,021/x
  3. Step 3: Cross multiply
    39,818.25x = 87,021 × 87,021
  4. Step 4: Simplify right side
    39,818.25x = 7,572,654,441
  5. Step 5: Solve for x
    x = 7,572,654,441/39,818.25
  6. Step 6: Final answer
    x = 190,180.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.