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Finding the Third Proportional to 187,432.31 and 408,142.13

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Solution

The third proportional to 187,432.31 and 408,142.13 is: 888,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,432.31 : 408,142.13 = 408,142.13 : x
  2. Step 2: Convert to fraction form
    187,432.31/408,142.13 = 408,142.13/x
  3. Step 3: Cross multiply
    187,432.31x = 408,142.13 × 408,142.13
  4. Step 4: Simplify right side
    187,432.31x = 166,579,994,199.52
  5. Step 5: Solve for x
    x = 166,579,994,199.52/187,432.31
  6. Step 6: Final answer
    x = 888,747.47

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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.