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Finding the Third Proportional to 310.78 and 441.78

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Solution

The third proportional to 310.78 and 441.78 is: 628.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.78 : 441.78 = 441.78 : x
  2. Step 2: Convert to fraction form
    310.78/441.78 = 441.78/x
  3. Step 3: Cross multiply
    310.78x = 441.78 × 441.78
  4. Step 4: Simplify right side
    310.78x = 195,170.67
  5. Step 5: Solve for x
    x = 195,170.67/310.78
  6. Step 6: Final answer
    x = 628.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.