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Finding the Third Proportional to 87,486 and 209,967

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Solution

The third proportional to 87,486 and 209,967 is: 503,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,486 : 209,967 = 209,967 : x
  2. Step 2: Convert to fraction form
    87,486/209,967 = 209,967/x
  3. Step 3: Cross multiply
    87,486x = 209,967 × 209,967
  4. Step 4: Simplify right side
    87,486x = 44,086,141,089
  5. Step 5: Solve for x
    x = 44,086,141,089/87,486
  6. Step 6: Final answer
    x = 503,922.24

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.