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Finding the Third Proportional to 330.25 and 721.25

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Solution

The third proportional to 330.25 and 721.25 is: 1,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.25 : 721.25 = 721.25 : x
  2. Step 2: Convert to fraction form
    330.25/721.25 = 721.25/x
  3. Step 3: Cross multiply
    330.25x = 721.25 × 721.25
  4. Step 4: Simplify right side
    330.25x = 520,201.56
  5. Step 5: Solve for x
    x = 520,201.56/330.25
  6. Step 6: Final answer
    x = 1,575.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.