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Finding the Third Proportional to 252 and 537.38

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Solution

The third proportional to 252 and 537.38 is: 1,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252 : 537.38 = 537.38 : x
  2. Step 2: Convert to fraction form
    252/537.38 = 537.38/x
  3. Step 3: Cross multiply
    252x = 537.38 × 537.38
  4. Step 4: Simplify right side
    252x = 288,771.89
  5. Step 5: Solve for x
    x = 288,771.89/252
  6. Step 6: Final answer
    x = 1,145.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.