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Finding the Third Proportional to 87,498 and 187,389

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Solution

The third proportional to 87,498 and 187,389 is: 401,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,498 : 187,389 = 187,389 : x
  2. Step 2: Convert to fraction form
    87,498/187,389 = 187,389/x
  3. Step 3: Cross multiply
    87,498x = 187,389 × 187,389
  4. Step 4: Simplify right side
    87,498x = 35,114,637,321
  5. Step 5: Solve for x
    x = 35,114,637,321/87,498
  6. Step 6: Final answer
    x = 401,319.31

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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.