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Finding the Third Proportional to 312.82 and 725.10

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Solution

The third proportional to 312.82 and 725.10 is: 1,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.82 : 725.10 = 725.10 : x
  2. Step 2: Convert to fraction form
    312.82/725.10 = 725.10/x
  3. Step 3: Cross multiply
    312.82x = 725.10 × 725.10
  4. Step 4: Simplify right side
    312.82x = 525,766.61
  5. Step 5: Solve for x
    x = 525,766.61/312.82
  6. Step 6: Final answer
    x = 1,680.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.