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Finding the Third Proportional to 252.65 and 377.42

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Solution

The third proportional to 252.65 and 377.42 is: 563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.65 : 377.42 = 377.42 : x
  2. Step 2: Convert to fraction form
    252.65/377.42 = 377.42/x
  3. Step 3: Cross multiply
    252.65x = 377.42 × 377.42
  4. Step 4: Simplify right side
    252.65x = 142,445.80
  5. Step 5: Solve for x
    x = 142,445.80/252.65
  6. Step 6: Final answer
    x = 563.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.