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Finding the Third Proportional to 239.17 and 369.42

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Solution

The third proportional to 239.17 and 369.42 is: 570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.17 : 369.42 = 369.42 : x
  2. Step 2: Convert to fraction form
    239.17/369.42 = 369.42/x
  3. Step 3: Cross multiply
    239.17x = 369.42 × 369.42
  4. Step 4: Simplify right side
    239.17x = 136,468.67
  5. Step 5: Solve for x
    x = 136,468.67/239.17
  6. Step 6: Final answer
    x = 570.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.