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Finding the Third Proportional to 87,438 and 187,342

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Solution

The third proportional to 87,438 and 187,342 is: 401,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,438 : 187,342 = 187,342 : x
  2. Step 2: Convert to fraction form
    87,438/187,342 = 187,342/x
  3. Step 3: Cross multiply
    87,438x = 187,342 × 187,342
  4. Step 4: Simplify right side
    87,438x = 35,097,024,964
  5. Step 5: Solve for x
    x = 35,097,024,964/87,438
  6. Step 6: Final answer
    x = 401,393.27

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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.