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Finding the Third Proportional to 127,872 and 274,560

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Solution

The third proportional to 127,872 and 274,560 is: 589,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,872 : 274,560 = 274,560 : x
  2. Step 2: Convert to fraction form
    127,872/274,560 = 274,560/x
  3. Step 3: Cross multiply
    127,872x = 274,560 × 274,560
  4. Step 4: Simplify right side
    127,872x = 75,383,193,600
  5. Step 5: Solve for x
    x = 75,383,193,600/127,872
  6. Step 6: Final answer
    x = 589,520.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.