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Finding the Third Proportional to 249.75 and 549.07

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Solution

The third proportional to 249.75 and 549.07 is: 1,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.75 : 549.07 = 549.07 : x
  2. Step 2: Convert to fraction form
    249.75/549.07 = 549.07/x
  3. Step 3: Cross multiply
    249.75x = 549.07 × 549.07
  4. Step 4: Simplify right side
    249.75x = 301,478.21
  5. Step 5: Solve for x
    x = 301,478.21/249.75
  6. Step 6: Final answer
    x = 1,207.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.