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Finding the Third Proportional to 87,432 and 190,434

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Solution

The third proportional to 87,432 and 190,434 is: 414,780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,432 : 190,434 = 190,434 : x
  2. Step 2: Convert to fraction form
    87,432/190,434 = 190,434/x
  3. Step 3: Cross multiply
    87,432x = 190,434 × 190,434
  4. Step 4: Simplify right side
    87,432x = 36,265,108,356
  5. Step 5: Solve for x
    x = 36,265,108,356/87,432
  6. Step 6: Final answer
    x = 414,780.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.