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Finding the Third Proportional to 40,829 and 87,489.75

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Solution

The third proportional to 40,829 and 87,489.75 is: 187,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,829 : 87,489.75 = 87,489.75 : x
  2. Step 2: Convert to fraction form
    40,829/87,489.75 = 87,489.75/x
  3. Step 3: Cross multiply
    40,829x = 87,489.75 × 87,489.75
  4. Step 4: Simplify right side
    40,829x = 7,654,456,355.06
  5. Step 5: Solve for x
    x = 7,654,456,355.06/40,829
  6. Step 6: Final answer
    x = 187,475.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.