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Finding the Third Proportional to 187,649 and 382,939

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Solution

The third proportional to 187,649 and 382,939 is: 781,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,649 : 382,939 = 382,939 : x
  2. Step 2: Convert to fraction form
    187,649/382,939 = 382,939/x
  3. Step 3: Cross multiply
    187,649x = 382,939 × 382,939
  4. Step 4: Simplify right side
    187,649x = 146,642,277,721
  5. Step 5: Solve for x
    x = 146,642,277,721/187,649
  6. Step 6: Final answer
    x = 781,471.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.