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Finding the Third Proportional to 489.80 and 601.17

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Solution

The third proportional to 489.80 and 601.17 is: 737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.80 : 601.17 = 601.17 : x
  2. Step 2: Convert to fraction form
    489.80/601.17 = 601.17/x
  3. Step 3: Cross multiply
    489.80x = 601.17 × 601.17
  4. Step 4: Simplify right side
    489.80x = 361,407.62
  5. Step 5: Solve for x
    x = 361,407.62/489.80
  6. Step 6: Final answer
    x = 737.87

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.