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Finding the Third Proportional to 40,496 and 85,087

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Solution

The third proportional to 40,496 and 85,087 is: 178,778.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,496 : 85,087 = 85,087 : x
  2. Step 2: Convert to fraction form
    40,496/85,087 = 85,087/x
  3. Step 3: Cross multiply
    40,496x = 85,087 × 85,087
  4. Step 4: Simplify right side
    40,496x = 7,239,797,569
  5. Step 5: Solve for x
    x = 7,239,797,569/40,496
  6. Step 6: Final answer
    x = 178,778.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.