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Finding the Third Proportional to 248.75 and 547.38

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Solution

The third proportional to 248.75 and 547.38 is: 1,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.75 : 547.38 = 547.38 : x
  2. Step 2: Convert to fraction form
    248.75/547.38 = 547.38/x
  3. Step 3: Cross multiply
    248.75x = 547.38 × 547.38
  4. Step 4: Simplify right side
    248.75x = 299,619.39
  5. Step 5: Solve for x
    x = 299,619.39/248.75
  6. Step 6: Final answer
    x = 1,204.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.