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Finding the Third Proportional to 288.68 and 548.17

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Solution

The third proportional to 288.68 and 548.17 is: 1,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.68 : 548.17 = 548.17 : x
  2. Step 2: Convert to fraction form
    288.68/548.17 = 548.17/x
  3. Step 3: Cross multiply
    288.68x = 548.17 × 548.17
  4. Step 4: Simplify right side
    288.68x = 300,494.55
  5. Step 5: Solve for x
    x = 300,494.55/288.68
  6. Step 6: Final answer
    x = 1,040.92

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.