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Finding the Third Proportional to 239.84 and 371.46

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Solution

The third proportional to 239.84 and 371.46 is: 575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.84 : 371.46 = 371.46 : x
  2. Step 2: Convert to fraction form
    239.84/371.46 = 371.46/x
  3. Step 3: Cross multiply
    239.84x = 371.46 × 371.46
  4. Step 4: Simplify right side
    239.84x = 137,983.23
  5. Step 5: Solve for x
    x = 137,983.23/239.84
  6. Step 6: Final answer
    x = 575.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.