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Finding the Third Proportional to 87,489 and 187,416

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Solution

The third proportional to 87,489 and 187,416 is: 401,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,489 : 187,416 = 187,416 : x
  2. Step 2: Convert to fraction form
    87,489/187,416 = 187,416/x
  3. Step 3: Cross multiply
    87,489x = 187,416 × 187,416
  4. Step 4: Simplify right side
    87,489x = 35,124,757,056
  5. Step 5: Solve for x
    x = 35,124,757,056/87,489
  6. Step 6: Final answer
    x = 401,476.27

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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.