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Finding the Third Proportional to 185,059 and 278,957

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Solution

The third proportional to 185,059 and 278,957 is: 420,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,059 : 278,957 = 278,957 : x
  2. Step 2: Convert to fraction form
    185,059/278,957 = 278,957/x
  3. Step 3: Cross multiply
    185,059x = 278,957 × 278,957
  4. Step 4: Simplify right side
    185,059x = 77,817,007,849
  5. Step 5: Solve for x
    x = 77,817,007,849/185,059
  6. Step 6: Final answer
    x = 420,498.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.