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Finding the Third Proportional to 549.91 and 824.55

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Solution

The third proportional to 549.91 and 824.55 is: 1,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.91 : 824.55 = 824.55 : x
  2. Step 2: Convert to fraction form
    549.91/824.55 = 824.55/x
  3. Step 3: Cross multiply
    549.91x = 824.55 × 824.55
  4. Step 4: Simplify right side
    549.91x = 679,890.43
  5. Step 5: Solve for x
    x = 679,890.43/549.91
  6. Step 6: Final answer
    x = 1,236.36

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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.