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Finding the Third Proportional to 322.02 and 433.20

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Solution

The third proportional to 322.02 and 433.20 is: 582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.02 : 433.20 = 433.20 : x
  2. Step 2: Convert to fraction form
    322.02/433.20 = 433.20/x
  3. Step 3: Cross multiply
    322.02x = 433.20 × 433.20
  4. Step 4: Simplify right side
    322.02x = 187,661.99
  5. Step 5: Solve for x
    x = 187,661.99/322.02
  6. Step 6: Final answer
    x = 582.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.