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Finding the Third Proportional to 249 and 326.25

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Solution

The third proportional to 249 and 326.25 is: 427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    249 : 326.25 = 326.25 : x
  2. Step 2: Convert to fraction form
    249/326.25 = 326.25/x
  3. Step 3: Cross multiply
    249x = 326.25 × 326.25
  4. Step 4: Simplify right side
    249x = 106,439.06
  5. Step 5: Solve for x
    x = 106,439.06/249
  6. Step 6: Final answer
    x = 427.47

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.