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Finding the Third Proportional to 252.77 and 339.66

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Solution

The third proportional to 252.77 and 339.66 is: 456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.77 : 339.66 = 339.66 : x
  2. Step 2: Convert to fraction form
    252.77/339.66 = 339.66/x
  3. Step 3: Cross multiply
    252.77x = 339.66 × 339.66
  4. Step 4: Simplify right side
    252.77x = 115,370.35
  5. Step 5: Solve for x
    x = 115,370.35/252.77
  6. Step 6: Final answer
    x = 456.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.