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Finding the Third Proportional to 185,478 and 279,081

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Solution

The third proportional to 185,478 and 279,081 is: 419,921.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,478 : 279,081 = 279,081 : x
  2. Step 2: Convert to fraction form
    185,478/279,081 = 279,081/x
  3. Step 3: Cross multiply
    185,478x = 279,081 × 279,081
  4. Step 4: Simplify right side
    185,478x = 77,886,204,561
  5. Step 5: Solve for x
    x = 77,886,204,561/185,478
  6. Step 6: Final answer
    x = 419,921.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.