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Finding the Third Proportional to 179,600 and 278,856

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Solution

The third proportional to 179,600 and 278,856 is: 432,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,600 : 278,856 = 278,856 : x
  2. Step 2: Convert to fraction form
    179,600/278,856 = 278,856/x
  3. Step 3: Cross multiply
    179,600x = 278,856 × 278,856
  4. Step 4: Simplify right side
    179,600x = 77,760,668,736
  5. Step 5: Solve for x
    x = 77,760,668,736/179,600
  6. Step 6: Final answer
    x = 432,965.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.