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Finding the Third Proportional to 87,214 and 188,371

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Solution

The third proportional to 87,214 and 188,371 is: 406,857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,214 : 188,371 = 188,371 : x
  2. Step 2: Convert to fraction form
    87,214/188,371 = 188,371/x
  3. Step 3: Cross multiply
    87,214x = 188,371 × 188,371
  4. Step 4: Simplify right side
    87,214x = 35,483,633,641
  5. Step 5: Solve for x
    x = 35,483,633,641/87,214
  6. Step 6: Final answer
    x = 406,857.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.