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Finding the Third Proportional to 330.68 and 486.15

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Solution

The third proportional to 330.68 and 486.15 is: 714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.68 : 486.15 = 486.15 : x
  2. Step 2: Convert to fraction form
    330.68/486.15 = 486.15/x
  3. Step 3: Cross multiply
    330.68x = 486.15 × 486.15
  4. Step 4: Simplify right side
    330.68x = 236,340.18
  5. Step 5: Solve for x
    x = 236,340.18/330.68
  6. Step 6: Final answer
    x = 714.70

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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.