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Finding the Third Proportional to 537.13 and 820.75

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Solution

The third proportional to 537.13 and 820.75 is: 1,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.13 : 820.75 = 820.75 : x
  2. Step 2: Convert to fraction form
    537.13/820.75 = 820.75/x
  3. Step 3: Cross multiply
    537.13x = 820.75 × 820.75
  4. Step 4: Simplify right side
    537.13x = 673,630.56
  5. Step 5: Solve for x
    x = 673,630.56/537.13
  6. Step 6: Final answer
    x = 1,254.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.