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Finding the Third Proportional to 269.75 and 342.88

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Solution

The third proportional to 269.75 and 342.88 is: 435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.75 : 342.88 = 342.88 : x
  2. Step 2: Convert to fraction form
    269.75/342.88 = 342.88/x
  3. Step 3: Cross multiply
    269.75x = 342.88 × 342.88
  4. Step 4: Simplify right side
    269.75x = 117,563.27
  5. Step 5: Solve for x
    x = 117,563.27/269.75
  6. Step 6: Final answer
    x = 435.82

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.