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Finding the Third Proportional to 187,720.50 and 408,489

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Solution

The third proportional to 187,720.50 and 408,489 is: 888,892.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,720.50 : 408,489 = 408,489 : x
  2. Step 2: Convert to fraction form
    187,720.50/408,489 = 408,489/x
  3. Step 3: Cross multiply
    187,720.50x = 408,489 × 408,489
  4. Step 4: Simplify right side
    187,720.50x = 166,863,263,121
  5. Step 5: Solve for x
    x = 166,863,263,121/187,720.50
  6. Step 6: Final answer
    x = 888,892.07

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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.