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Finding the Third Proportional to 129,287 and 274,225

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Solution

The third proportional to 129,287 and 274,225 is: 581,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,287 : 274,225 = 274,225 : x
  2. Step 2: Convert to fraction form
    129,287/274,225 = 274,225/x
  3. Step 3: Cross multiply
    129,287x = 274,225 × 274,225
  4. Step 4: Simplify right side
    129,287x = 75,199,350,625
  5. Step 5: Solve for x
    x = 75,199,350,625/129,287
  6. Step 6: Final answer
    x = 581,646.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.