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Finding the Third Proportional to 87,432 and 188,823

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Solution

The third proportional to 87,432 and 188,823 is: 407,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,432 : 188,823 = 188,823 : x
  2. Step 2: Convert to fraction form
    87,432/188,823 = 188,823/x
  3. Step 3: Cross multiply
    87,432x = 188,823 × 188,823
  4. Step 4: Simplify right side
    87,432x = 35,654,125,329
  5. Step 5: Solve for x
    x = 35,654,125,329/87,432
  6. Step 6: Final answer
    x = 407,792.63

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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.