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Finding the Third Proportional to 549.14 and 1,213.59

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Solution

The third proportional to 549.14 and 1,213.59 is: 2,682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.14 : 1,213.59 = 1,213.59 : x
  2. Step 2: Convert to fraction form
    549.14/1,213.59 = 1,213.59/x
  3. Step 3: Cross multiply
    549.14x = 1,213.59 × 1,213.59
  4. Step 4: Simplify right side
    549.14x = 1,472,809.79
  5. Step 5: Solve for x
    x = 1,472,809.79/549.14
  6. Step 6: Final answer
    x = 2,682.03

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.