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Finding the Third Proportional to 395.72 and 614.04

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Solution

The third proportional to 395.72 and 614.04 is: 952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.72 : 614.04 = 614.04 : x
  2. Step 2: Convert to fraction form
    395.72/614.04 = 614.04/x
  3. Step 3: Cross multiply
    395.72x = 614.04 × 614.04
  4. Step 4: Simplify right side
    395.72x = 377,043.97
  5. Step 5: Solve for x
    x = 377,043.97/395.72
  6. Step 6: Final answer
    x = 952.81

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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.