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Finding the Third Proportional to 239.13 and 518.75

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Solution

The third proportional to 239.13 and 518.75 is: 1,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.13 : 518.75 = 518.75 : x
  2. Step 2: Convert to fraction form
    239.13/518.75 = 518.75/x
  3. Step 3: Cross multiply
    239.13x = 518.75 × 518.75
  4. Step 4: Simplify right side
    239.13x = 269,101.56
  5. Step 5: Solve for x
    x = 269,101.56/239.13
  6. Step 6: Final answer
    x = 1,125.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.