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Finding the Third Proportional to 322.42 and 493.28

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Solution

The third proportional to 322.42 and 493.28 is: 754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.42 : 493.28 = 493.28 : x
  2. Step 2: Convert to fraction form
    322.42/493.28 = 493.28/x
  3. Step 3: Cross multiply
    322.42x = 493.28 × 493.28
  4. Step 4: Simplify right side
    322.42x = 243,322.54
  5. Step 5: Solve for x
    x = 243,322.54/322.42
  6. Step 6: Final answer
    x = 754.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.