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Finding the Third Proportional to 330.84 and 778.69

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Solution

The third proportional to 330.84 and 778.69 is: 1,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.84 : 778.69 = 778.69 : x
  2. Step 2: Convert to fraction form
    330.84/778.69 = 778.69/x
  3. Step 3: Cross multiply
    330.84x = 778.69 × 778.69
  4. Step 4: Simplify right side
    330.84x = 606,354.22
  5. Step 5: Solve for x
    x = 606,354.22/330.84
  6. Step 6: Final answer
    x = 1,832.75

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1.5x scale

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.