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Finding the Third Proportional to 322.31 and 460.69

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Solution

The third proportional to 322.31 and 460.69 is: 658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.31 : 460.69 = 460.69 : x
  2. Step 2: Convert to fraction form
    322.31/460.69 = 460.69/x
  3. Step 3: Cross multiply
    322.31x = 460.69 × 460.69
  4. Step 4: Simplify right side
    322.31x = 212,232.97
  5. Step 5: Solve for x
    x = 212,232.97/322.31
  6. Step 6: Final answer
    x = 658.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.