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Finding the Third Proportional to 275.34 and 397.97

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Solution

The third proportional to 275.34 and 397.97 is: 575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.34 : 397.97 = 397.97 : x
  2. Step 2: Convert to fraction form
    275.34/397.97 = 397.97/x
  3. Step 3: Cross multiply
    275.34x = 397.97 × 397.97
  4. Step 4: Simplify right side
    275.34x = 158,379.13
  5. Step 5: Solve for x
    x = 158,379.13/275.34
  6. Step 6: Final answer
    x = 575.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.