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Finding the Third Proportional to 387.19 and 580.78

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Solution

The third proportional to 387.19 and 580.78 is: 871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.19 : 580.78 = 580.78 : x
  2. Step 2: Convert to fraction form
    387.19/580.78 = 580.78/x
  3. Step 3: Cross multiply
    387.19x = 580.78 × 580.78
  4. Step 4: Simplify right side
    387.19x = 337,306.86
  5. Step 5: Solve for x
    x = 337,306.86/387.19
  6. Step 6: Final answer
    x = 871.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.