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Finding the Third Proportional to 326.31 and 702.38

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Solution

The third proportional to 326.31 and 702.38 is: 1,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.31 : 702.38 = 702.38 : x
  2. Step 2: Convert to fraction form
    326.31/702.38 = 702.38/x
  3. Step 3: Cross multiply
    326.31x = 702.38 × 702.38
  4. Step 4: Simplify right side
    326.31x = 493,330.64
  5. Step 5: Solve for x
    x = 493,330.64/326.31
  6. Step 6: Final answer
    x = 1,511.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.