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Finding the Third Proportional to 131,493 and 279,368

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Solution

The third proportional to 131,493 and 279,368 is: 593,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,493 : 279,368 = 279,368 : x
  2. Step 2: Convert to fraction form
    131,493/279,368 = 279,368/x
  3. Step 3: Cross multiply
    131,493x = 279,368 × 279,368
  4. Step 4: Simplify right side
    131,493x = 78,046,479,424
  5. Step 5: Solve for x
    x = 78,046,479,424/131,493
  6. Step 6: Final answer
    x = 593,540.94

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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.