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Finding the Third Proportional to 182,781 and 272,649

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Solution

The third proportional to 182,781 and 272,649 is: 406,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,781 : 272,649 = 272,649 : x
  2. Step 2: Convert to fraction form
    182,781/272,649 = 272,649/x
  3. Step 3: Cross multiply
    182,781x = 272,649 × 272,649
  4. Step 4: Simplify right side
    182,781x = 74,337,477,201
  5. Step 5: Solve for x
    x = 74,337,477,201/182,781
  6. Step 6: Final answer
    x = 406,702.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.