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Finding the Third Proportional to 330.94 and 778.97

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Solution

The third proportional to 330.94 and 778.97 is: 1,833.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.94 : 778.97 = 778.97 : x
  2. Step 2: Convert to fraction form
    330.94/778.97 = 778.97/x
  3. Step 3: Cross multiply
    330.94x = 778.97 × 778.97
  4. Step 4: Simplify right side
    330.94x = 606,792.31
  5. Step 5: Solve for x
    x = 606,792.31/330.94
  6. Step 6: Final answer
    x = 1,833.56

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.