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Finding the Third Proportional to 120,690 and 168,812

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Solution

The third proportional to 120,690 and 168,812 is: 236,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,690 : 168,812 = 168,812 : x
  2. Step 2: Convert to fraction form
    120,690/168,812 = 168,812/x
  3. Step 3: Cross multiply
    120,690x = 168,812 × 168,812
  4. Step 4: Simplify right side
    120,690x = 28,497,491,344
  5. Step 5: Solve for x
    x = 28,497,491,344/120,690
  6. Step 6: Final answer
    x = 236,121.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.