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Finding the Third Proportional to 87,382 and 187,214

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Solution

The third proportional to 87,382 and 187,214 is: 401,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,382 : 187,214 = 187,214 : x
  2. Step 2: Convert to fraction form
    87,382/187,214 = 187,214/x
  3. Step 3: Cross multiply
    87,382x = 187,214 × 187,214
  4. Step 4: Simplify right side
    87,382x = 35,049,081,796
  5. Step 5: Solve for x
    x = 35,049,081,796/87,382
  6. Step 6: Final answer
    x = 401,101.85

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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.