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Finding the Third Proportional to 252.81 and 512.74

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Solution

The third proportional to 252.81 and 512.74 is: 1,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.81 : 512.74 = 512.74 : x
  2. Step 2: Convert to fraction form
    252.81/512.74 = 512.74/x
  3. Step 3: Cross multiply
    252.81x = 512.74 × 512.74
  4. Step 4: Simplify right side
    252.81x = 262,898.54
  5. Step 5: Solve for x
    x = 262,898.54/252.81
  6. Step 6: Final answer
    x = 1,039.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.