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Finding the Third Proportional to 187,716 and 408,480

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Solution

The third proportional to 187,716 and 408,480 is: 888,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,716 : 408,480 = 408,480 : x
  2. Step 2: Convert to fraction form
    187,716/408,480 = 408,480/x
  3. Step 3: Cross multiply
    187,716x = 408,480 × 408,480
  4. Step 4: Simplify right side
    187,716x = 166,855,910,400
  5. Step 5: Solve for x
    x = 166,855,910,400/187,716
  6. Step 6: Final answer
    x = 888,874.21

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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.