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Finding the Third Proportional to 489.38 and 759.09

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Solution

The third proportional to 489.38 and 759.09 is: 1,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.38 : 759.09 = 759.09 : x
  2. Step 2: Convert to fraction form
    489.38/759.09 = 759.09/x
  3. Step 3: Cross multiply
    489.38x = 759.09 × 759.09
  4. Step 4: Simplify right side
    489.38x = 576,223.32
  5. Step 5: Solve for x
    x = 576,223.32/489.38
  6. Step 6: Final answer
    x = 1,177.47

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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.