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Finding the Third Proportional to 337.78 and 366.47

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Solution

The third proportional to 337.78 and 366.47 is: 397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.78 : 366.47 = 366.47 : x
  2. Step 2: Convert to fraction form
    337.78/366.47 = 366.47/x
  3. Step 3: Cross multiply
    337.78x = 366.47 × 366.47
  4. Step 4: Simplify right side
    337.78x = 134,299.34
  5. Step 5: Solve for x
    x = 134,299.34/337.78
  6. Step 6: Final answer
    x = 397.59

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.