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Finding the Third Proportional to 127,569 and 279,376

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Solution

The third proportional to 127,569 and 279,376 is: 611,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,569 : 279,376 = 279,376 : x
  2. Step 2: Convert to fraction form
    127,569/279,376 = 279,376/x
  3. Step 3: Cross multiply
    127,569x = 279,376 × 279,376
  4. Step 4: Simplify right side
    127,569x = 78,050,949,376
  5. Step 5: Solve for x
    x = 78,050,949,376/127,569
  6. Step 6: Final answer
    x = 611,833.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.