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Finding the Third Proportional to 274.17 and 369.33

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Solution

The third proportional to 274.17 and 369.33 is: 497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.17 : 369.33 = 369.33 : x
  2. Step 2: Convert to fraction form
    274.17/369.33 = 369.33/x
  3. Step 3: Cross multiply
    274.17x = 369.33 × 369.33
  4. Step 4: Simplify right side
    274.17x = 136,403.26
  5. Step 5: Solve for x
    x = 136,403.26/274.17
  6. Step 6: Final answer
    x = 497.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.