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Finding the Third Proportional to 258.82 and 549.68

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Solution

The third proportional to 258.82 and 549.68 is: 1,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.82 : 549.68 = 549.68 : x
  2. Step 2: Convert to fraction form
    258.82/549.68 = 549.68/x
  3. Step 3: Cross multiply
    258.82x = 549.68 × 549.68
  4. Step 4: Simplify right side
    258.82x = 302,144.54
  5. Step 5: Solve for x
    x = 302,144.54/258.82
  6. Step 6: Final answer
    x = 1,167.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.