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Finding the Third Proportional to 252.56 and 342.81

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Solution

The third proportional to 252.56 and 342.81 is: 465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.56 : 342.81 = 342.81 : x
  2. Step 2: Convert to fraction form
    252.56/342.81 = 342.81/x
  3. Step 3: Cross multiply
    252.56x = 342.81 × 342.81
  4. Step 4: Simplify right side
    252.56x = 117,520.41
  5. Step 5: Solve for x
    x = 117,520.41/252.56
  6. Step 6: Final answer
    x = 465.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.