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Finding the Third Proportional to 39,949 and 87,538

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Solution

The third proportional to 39,949 and 87,538 is: 191,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,949 : 87,538 = 87,538 : x
  2. Step 2: Convert to fraction form
    39,949/87,538 = 87,538/x
  3. Step 3: Cross multiply
    39,949x = 87,538 × 87,538
  4. Step 4: Simplify right side
    39,949x = 7,662,901,444
  5. Step 5: Solve for x
    x = 7,662,901,444/39,949
  6. Step 6: Final answer
    x = 191,817.10

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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.