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Finding the Third Proportional to 87,981 and 188,421

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Solution

The third proportional to 87,981 and 188,421 is: 403,524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,981 : 188,421 = 188,421 : x
  2. Step 2: Convert to fraction form
    87,981/188,421 = 188,421/x
  3. Step 3: Cross multiply
    87,981x = 188,421 × 188,421
  4. Step 4: Simplify right side
    87,981x = 35,502,473,241
  5. Step 5: Solve for x
    x = 35,502,473,241/87,981
  6. Step 6: Final answer
    x = 403,524.32

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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.