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Finding the Third Proportional to 131,498 and 279,376

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Solution

The third proportional to 131,498 and 279,376 is: 593,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,498 : 279,376 = 279,376 : x
  2. Step 2: Convert to fraction form
    131,498/279,376 = 279,376/x
  3. Step 3: Cross multiply
    131,498x = 279,376 × 279,376
  4. Step 4: Simplify right side
    131,498x = 78,050,949,376
  5. Step 5: Solve for x
    x = 78,050,949,376/131,498
  6. Step 6: Final answer
    x = 593,552.37

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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.