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Finding the Third Proportional to 394.31 and 864.38

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Solution

The third proportional to 394.31 and 864.38 is: 1,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.31 : 864.38 = 864.38 : x
  2. Step 2: Convert to fraction form
    394.31/864.38 = 864.38/x
  3. Step 3: Cross multiply
    394.31x = 864.38 × 864.38
  4. Step 4: Simplify right side
    394.31x = 747,144.14
  5. Step 5: Solve for x
    x = 747,144.14/394.31
  6. Step 6: Final answer
    x = 1,894.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.