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Finding the Third Proportional to 489.80 and 1,078.31

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Solution

The third proportional to 489.80 and 1,078.31 is: 2,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.80 : 1,078.31 = 1,078.31 : x
  2. Step 2: Convert to fraction form
    489.80/1,078.31 = 1,078.31/x
  3. Step 3: Cross multiply
    489.80x = 1,078.31 × 1,078.31
  4. Step 4: Simplify right side
    489.80x = 1,162,757.85
  5. Step 5: Solve for x
    x = 1,162,757.85/489.80
  6. Step 6: Final answer
    x = 2,373.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.