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Finding the Third Proportional to 330.64 and 721.09

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Solution

The third proportional to 330.64 and 721.09 is: 1,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.64 : 721.09 = 721.09 : x
  2. Step 2: Convert to fraction form
    330.64/721.09 = 721.09/x
  3. Step 3: Cross multiply
    330.64x = 721.09 × 721.09
  4. Step 4: Simplify right side
    330.64x = 519,970.56
  5. Step 5: Solve for x
    x = 519,970.56/330.64
  6. Step 6: Final answer
    x = 1,572.60

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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.