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Finding the Third Proportional to 87,300 and 187,344

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Solution

The third proportional to 87,300 and 187,344 is: 402,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,300 : 187,344 = 187,344 : x
  2. Step 2: Convert to fraction form
    87,300/187,344 = 187,344/x
  3. Step 3: Cross multiply
    87,300x = 187,344 × 187,344
  4. Step 4: Simplify right side
    87,300x = 35,097,774,336
  5. Step 5: Solve for x
    x = 35,097,774,336/87,300
  6. Step 6: Final answer
    x = 402,036.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.