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Finding the Third Proportional to 471.66 and 628.17

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Solution

The third proportional to 471.66 and 628.17 is: 836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.66 : 628.17 = 628.17 : x
  2. Step 2: Convert to fraction form
    471.66/628.17 = 628.17/x
  3. Step 3: Cross multiply
    471.66x = 628.17 × 628.17
  4. Step 4: Simplify right side
    471.66x = 394,599.90
  5. Step 5: Solve for x
    x = 394,599.90/471.66
  6. Step 6: Final answer
    x = 836.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.