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Finding the Third Proportional to 254.25 and 548.75

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Solution

The third proportional to 254.25 and 548.75 is: 1,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.25 : 548.75 = 548.75 : x
  2. Step 2: Convert to fraction form
    254.25/548.75 = 548.75/x
  3. Step 3: Cross multiply
    254.25x = 548.75 × 548.75
  4. Step 4: Simplify right side
    254.25x = 301,126.56
  5. Step 5: Solve for x
    x = 301,126.56/254.25
  6. Step 6: Final answer
    x = 1,184.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.