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Finding the Third Proportional to 238.69 and 369.28

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Solution

The third proportional to 238.69 and 369.28 is: 571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.69 : 369.28 = 369.28 : x
  2. Step 2: Convert to fraction form
    238.69/369.28 = 369.28/x
  3. Step 3: Cross multiply
    238.69x = 369.28 × 369.28
  4. Step 4: Simplify right side
    238.69x = 136,368.64
  5. Step 5: Solve for x
    x = 136,368.64/238.69
  6. Step 6: Final answer
    x = 571.33

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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.