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Finding the Third Proportional to 678.38 and 952.17

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Solution

The third proportional to 678.38 and 952.17 is: 1,336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.38 : 952.17 = 952.17 : x
  2. Step 2: Convert to fraction form
    678.38/952.17 = 952.17/x
  3. Step 3: Cross multiply
    678.38x = 952.17 × 952.17
  4. Step 4: Simplify right side
    678.38x = 906,631.28
  5. Step 5: Solve for x
    x = 906,631.28/678.38
  6. Step 6: Final answer
    x = 1,336.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.