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Finding the Third Proportional to 331.09 and 485.78

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Solution

The third proportional to 331.09 and 485.78 is: 712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.09 : 485.78 = 485.78 : x
  2. Step 2: Convert to fraction form
    331.09/485.78 = 485.78/x
  3. Step 3: Cross multiply
    331.09x = 485.78 × 485.78
  4. Step 4: Simplify right side
    331.09x = 235,983.42
  5. Step 5: Solve for x
    x = 235,983.42/331.09
  6. Step 6: Final answer
    x = 712.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.