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Finding the Third Proportional to 395.44 and 580.78

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Solution

The third proportional to 395.44 and 580.78 is: 853.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.44 : 580.78 = 580.78 : x
  2. Step 2: Convert to fraction form
    395.44/580.78 = 580.78/x
  3. Step 3: Cross multiply
    395.44x = 580.78 × 580.78
  4. Step 4: Simplify right side
    395.44x = 337,306.86
  5. Step 5: Solve for x
    x = 337,306.86/395.44
  6. Step 6: Final answer
    x = 853.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.