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Finding the Third Proportional to 129,404 and 274,360

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Solution

The third proportional to 129,404 and 274,360 is: 581,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,404 : 274,360 = 274,360 : x
  2. Step 2: Convert to fraction form
    129,404/274,360 = 274,360/x
  3. Step 3: Cross multiply
    129,404x = 274,360 × 274,360
  4. Step 4: Simplify right side
    129,404x = 75,273,409,600
  5. Step 5: Solve for x
    x = 75,273,409,600/129,404
  6. Step 6: Final answer
    x = 581,693.07

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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.