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Finding the Third Proportional to 257.48 and 549.14

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Solution

The third proportional to 257.48 and 549.14 is: 1,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.48 : 549.14 = 549.14 : x
  2. Step 2: Convert to fraction form
    257.48/549.14 = 549.14/x
  3. Step 3: Cross multiply
    257.48x = 549.14 × 549.14
  4. Step 4: Simplify right side
    257.48x = 301,555.43
  5. Step 5: Solve for x
    x = 301,555.43/257.48
  6. Step 6: Final answer
    x = 1,171.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.