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Finding the Third Proportional to 239.20 and 378.03

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Solution

The third proportional to 239.20 and 378.03 is: 597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.20 : 378.03 = 378.03 : x
  2. Step 2: Convert to fraction form
    239.20/378.03 = 378.03/x
  3. Step 3: Cross multiply
    239.20x = 378.03 × 378.03
  4. Step 4: Simplify right side
    239.20x = 142,903.93
  5. Step 5: Solve for x
    x = 142,903.93/239.20
  6. Step 6: Final answer
    x = 597.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.