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Finding the Third Proportional to 179,530 and 278,774

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Solution

The third proportional to 179,530 and 278,774 is: 432,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,530 : 278,774 = 278,774 : x
  2. Step 2: Convert to fraction form
    179,530/278,774 = 278,774/x
  3. Step 3: Cross multiply
    179,530x = 278,774 × 278,774
  4. Step 4: Simplify right side
    179,530x = 77,714,943,076
  5. Step 5: Solve for x
    x = 77,714,943,076/179,530
  6. Step 6: Final answer
    x = 432,879.98

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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.