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Finding the Third Proportional to 979.73 and 1,517.65

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Solution

The third proportional to 979.73 and 1,517.65 is: 2,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.73 : 1,517.65 = 1,517.65 : x
  2. Step 2: Convert to fraction form
    979.73/1,517.65 = 1,517.65/x
  3. Step 3: Cross multiply
    979.73x = 1,517.65 × 1,517.65
  4. Step 4: Simplify right side
    979.73x = 2,303,256.78
  5. Step 5: Solve for x
    x = 2,303,256.78/979.73
  6. Step 6: Final answer
    x = 2,350.90

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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.