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Finding the Third Proportional to 330.81 and 486.31

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Solution

The third proportional to 330.81 and 486.31 is: 714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.81 : 486.31 = 486.31 : x
  2. Step 2: Convert to fraction form
    330.81/486.31 = 486.31/x
  3. Step 3: Cross multiply
    330.81x = 486.31 × 486.31
  4. Step 4: Simplify right side
    330.81x = 236,499.85
  5. Step 5: Solve for x
    x = 236,499.85/330.81
  6. Step 6: Final answer
    x = 714.91

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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.