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Finding the Third Proportional to 330.19 and 778.22

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Solution

The third proportional to 330.19 and 778.22 is: 1,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.19 : 778.22 = 778.22 : x
  2. Step 2: Convert to fraction form
    330.19/778.22 = 778.22/x
  3. Step 3: Cross multiply
    330.19x = 778.22 × 778.22
  4. Step 4: Simplify right side
    330.19x = 605,624.42
  5. Step 5: Solve for x
    x = 605,624.42/330.19
  6. Step 6: Final answer
    x = 1,834.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.