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Finding the Third Proportional to 414.25 and 549.63

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Solution

The third proportional to 414.25 and 549.63 is: 729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.25 : 549.63 = 549.63 : x
  2. Step 2: Convert to fraction form
    414.25/549.63 = 549.63/x
  3. Step 3: Cross multiply
    414.25x = 549.63 × 549.63
  4. Step 4: Simplify right side
    414.25x = 302,087.64
  5. Step 5: Solve for x
    x = 302,087.64/414.25
  6. Step 6: Final answer
    x = 729.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.