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Finding the Third Proportional to 322.31 and 471.66

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Solution

The third proportional to 322.31 and 471.66 is: 690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.31 : 471.66 = 471.66 : x
  2. Step 2: Convert to fraction form
    322.31/471.66 = 471.66/x
  3. Step 3: Cross multiply
    322.31x = 471.66 × 471.66
  4. Step 4: Simplify right side
    322.31x = 222,459.62
  5. Step 5: Solve for x
    x = 222,459.62/322.31
  6. Step 6: Final answer
    x = 690.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.