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Finding the Third Proportional to 269.79 and 353.32

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Solution

The third proportional to 269.79 and 353.32 is: 462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.79 : 353.32 = 353.32 : x
  2. Step 2: Convert to fraction form
    269.79/353.32 = 353.32/x
  3. Step 3: Cross multiply
    269.79x = 353.32 × 353.32
  4. Step 4: Simplify right side
    269.79x = 124,835.24
  5. Step 5: Solve for x
    x = 124,835.24/269.79
  6. Step 6: Final answer
    x = 462.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.