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Finding the Third Proportional to 149,676 and 317,802

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Solution

The third proportional to 149,676 and 317,802 is: 674,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,676 : 317,802 = 317,802 : x
  2. Step 2: Convert to fraction form
    149,676/317,802 = 317,802/x
  3. Step 3: Cross multiply
    149,676x = 317,802 × 317,802
  4. Step 4: Simplify right side
    149,676x = 100,998,111,204
  5. Step 5: Solve for x
    x = 100,998,111,204/149,676
  6. Step 6: Final answer
    x = 674,778.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.