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Finding the Third Proportional to 269.56 and 451.19

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Solution

The third proportional to 269.56 and 451.19 is: 755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.56 : 451.19 = 451.19 : x
  2. Step 2: Convert to fraction form
    269.56/451.19 = 451.19/x
  3. Step 3: Cross multiply
    269.56x = 451.19 × 451.19
  4. Step 4: Simplify right side
    269.56x = 203,570.16
  5. Step 5: Solve for x
    x = 203,570.16/269.56
  6. Step 6: Final answer
    x = 755.19

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.