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Finding the Third Proportional to 327.66 and 458.30

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Solution

The third proportional to 327.66 and 458.30 is: 641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.66 : 458.30 = 458.30 : x
  2. Step 2: Convert to fraction form
    327.66/458.30 = 458.30/x
  3. Step 3: Cross multiply
    327.66x = 458.30 × 458.30
  4. Step 4: Simplify right side
    327.66x = 210,036.03
  5. Step 5: Solve for x
    x = 210,036.03/327.66
  6. Step 6: Final answer
    x = 641.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.