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Finding the Third Proportional to 87,324 and 188,558

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Solution

The third proportional to 87,324 and 188,558 is: 407,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,324 : 188,558 = 188,558 : x
  2. Step 2: Convert to fraction form
    87,324/188,558 = 188,558/x
  3. Step 3: Cross multiply
    87,324x = 188,558 × 188,558
  4. Step 4: Simplify right side
    87,324x = 35,554,119,364
  5. Step 5: Solve for x
    x = 35,554,119,364/87,324
  6. Step 6: Final answer
    x = 407,151.75

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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.