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Finding the Third Proportional to 489.50 and 759.56

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Solution

The third proportional to 489.50 and 759.56 is: 1,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.50 : 759.56 = 759.56 : x
  2. Step 2: Convert to fraction form
    489.50/759.56 = 759.56/x
  3. Step 3: Cross multiply
    489.50x = 759.56 × 759.56
  4. Step 4: Simplify right side
    489.50x = 576,935.19
  5. Step 5: Solve for x
    x = 576,935.19/489.50
  6. Step 6: Final answer
    x = 1,178.62

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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.