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Finding the Third Proportional to 337.92 and 811.90

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Solution

The third proportional to 337.92 and 811.90 is: 1,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 811.90 = 811.90 : x
  2. Step 2: Convert to fraction form
    337.92/811.90 = 811.90/x
  3. Step 3: Cross multiply
    337.92x = 811.90 × 811.90
  4. Step 4: Simplify right side
    337.92x = 659,179.07
  5. Step 5: Solve for x
    x = 659,179.07/337.92
  6. Step 6: Final answer
    x = 1,950.68

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.