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Finding the Third Proportional to 87,000 and 181,506

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Solution

The third proportional to 87,000 and 181,506 is: 378,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,000 : 181,506 = 181,506 : x
  2. Step 2: Convert to fraction form
    87,000/181,506 = 181,506/x
  3. Step 3: Cross multiply
    87,000x = 181,506 × 181,506
  4. Step 4: Simplify right side
    87,000x = 32,944,428,036
  5. Step 5: Solve for x
    x = 32,944,428,036/87,000
  6. Step 6: Final answer
    x = 378,671.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.