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Finding the Third Proportional to 353.25 and 764.02

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Solution

The third proportional to 353.25 and 764.02 is: 1,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.25 : 764.02 = 764.02 : x
  2. Step 2: Convert to fraction form
    353.25/764.02 = 764.02/x
  3. Step 3: Cross multiply
    353.25x = 764.02 × 764.02
  4. Step 4: Simplify right side
    353.25x = 583,719.88
  5. Step 5: Solve for x
    x = 583,719.88/353.25
  6. Step 6: Final answer
    x = 1,652.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.