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Finding the Third Proportional to 68,616 and 149,256

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Solution

The third proportional to 68,616 and 149,256 is: 324,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,616 : 149,256 = 149,256 : x
  2. Step 2: Convert to fraction form
    68,616/149,256 = 149,256/x
  3. Step 3: Cross multiply
    68,616x = 149,256 × 149,256
  4. Step 4: Simplify right side
    68,616x = 22,277,353,536
  5. Step 5: Solve for x
    x = 22,277,353,536/68,616
  6. Step 6: Final answer
    x = 324,667.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.