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Finding the Third Proportional to 397.38 and 614.06

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Solution

The third proportional to 397.38 and 614.06 is: 948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.38 : 614.06 = 614.06 : x
  2. Step 2: Convert to fraction form
    397.38/614.06 = 614.06/x
  3. Step 3: Cross multiply
    397.38x = 614.06 × 614.06
  4. Step 4: Simplify right side
    397.38x = 377,072.75
  5. Step 5: Solve for x
    x = 377,072.75/397.38
  6. Step 6: Final answer
    x = 948.91

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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.