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Finding the Third Proportional to 129,282 and 274,215

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Solution

The third proportional to 129,282 and 274,215 is: 581,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,282 : 274,215 = 274,215 : x
  2. Step 2: Convert to fraction form
    129,282/274,215 = 274,215/x
  3. Step 3: Cross multiply
    129,282x = 274,215 × 274,215
  4. Step 4: Simplify right side
    129,282x = 75,193,866,225
  5. Step 5: Solve for x
    x = 75,193,866,225/129,282
  6. Step 6: Final answer
    x = 581,626.72

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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.