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Finding the Third Proportional to 269.26 and 484.42

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Solution

The third proportional to 269.26 and 484.42 is: 871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.26 : 484.42 = 484.42 : x
  2. Step 2: Convert to fraction form
    269.26/484.42 = 484.42/x
  3. Step 3: Cross multiply
    269.26x = 484.42 × 484.42
  4. Step 4: Simplify right side
    269.26x = 234,660.77
  5. Step 5: Solve for x
    x = 234,660.77/269.26
  6. Step 6: Final answer
    x = 871.50

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.