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Finding the Third Proportional to 187,802 and 281,650

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Solution

The third proportional to 187,802 and 281,650 is: 422,395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,802 : 281,650 = 281,650 : x
  2. Step 2: Convert to fraction form
    187,802/281,650 = 281,650/x
  3. Step 3: Cross multiply
    187,802x = 281,650 × 281,650
  4. Step 4: Simplify right side
    187,802x = 79,326,722,500
  5. Step 5: Solve for x
    x = 79,326,722,500/187,802
  6. Step 6: Final answer
    x = 422,395.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.