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Finding the Third Proportional to 321.38 and 483.56

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Solution

The third proportional to 321.38 and 483.56 is: 727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.38 : 483.56 = 483.56 : x
  2. Step 2: Convert to fraction form
    321.38/483.56 = 483.56/x
  3. Step 3: Cross multiply
    321.38x = 483.56 × 483.56
  4. Step 4: Simplify right side
    321.38x = 233,832.69
  5. Step 5: Solve for x
    x = 233,832.69/321.38
  6. Step 6: Final answer
    x = 727.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.