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Finding the Third Proportional to 348.38 and 751.31

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Solution

The third proportional to 348.38 and 751.31 is: 1,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.38 : 751.31 = 751.31 : x
  2. Step 2: Convert to fraction form
    348.38/751.31 = 751.31/x
  3. Step 3: Cross multiply
    348.38x = 751.31 × 751.31
  4. Step 4: Simplify right side
    348.38x = 564,470.47
  5. Step 5: Solve for x
    x = 564,470.47/348.38
  6. Step 6: Final answer
    x = 1,620.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.