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Finding the Third Proportional to 159.92 and 254.31

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Solution

The third proportional to 159.92 and 254.31 is: 404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 254.31 = 254.31 : x
  2. Step 2: Convert to fraction form
    159.92/254.31 = 254.31/x
  3. Step 3: Cross multiply
    159.92x = 254.31 × 254.31
  4. Step 4: Simplify right side
    159.92x = 64,674.35
  5. Step 5: Solve for x
    x = 64,674.35/159.92
  6. Step 6: Final answer
    x = 404.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.