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Finding the Third Proportional to 311.98 and 741.87

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Solution

The third proportional to 311.98 and 741.87 is: 1,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.98 : 741.87 = 741.87 : x
  2. Step 2: Convert to fraction form
    311.98/741.87 = 741.87/x
  3. Step 3: Cross multiply
    311.98x = 741.87 × 741.87
  4. Step 4: Simplify right side
    311.98x = 550,366.92
  5. Step 5: Solve for x
    x = 550,366.92/311.98
  6. Step 6: Final answer
    x = 1,764.13

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.