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Finding the Third Proportional to 87,971 and 188,400

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Solution

The third proportional to 87,971 and 188,400 is: 403,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,971 : 188,400 = 188,400 : x
  2. Step 2: Convert to fraction form
    87,971/188,400 = 188,400/x
  3. Step 3: Cross multiply
    87,971x = 188,400 × 188,400
  4. Step 4: Simplify right side
    87,971x = 35,494,560,000
  5. Step 5: Solve for x
    x = 35,494,560,000/87,971
  6. Step 6: Final answer
    x = 403,480.24

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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.