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Finding the Third Proportional to 549.38 and 821.94

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Solution

The third proportional to 549.38 and 821.94 is: 1,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.38 : 821.94 = 821.94 : x
  2. Step 2: Convert to fraction form
    549.38/821.94 = 821.94/x
  3. Step 3: Cross multiply
    549.38x = 821.94 × 821.94
  4. Step 4: Simplify right side
    549.38x = 675,581.25
  5. Step 5: Solve for x
    x = 675,581.25/549.38
  6. Step 6: Final answer
    x = 1,229.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.