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Finding the Third Proportional to 68,481 and 149,418

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Solution

The third proportional to 68,481 and 149,418 is: 326,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,481 : 149,418 = 149,418 : x
  2. Step 2: Convert to fraction form
    68,481/149,418 = 149,418/x
  3. Step 3: Cross multiply
    68,481x = 149,418 × 149,418
  4. Step 4: Simplify right side
    68,481x = 22,325,738,724
  5. Step 5: Solve for x
    x = 22,325,738,724/68,481
  6. Step 6: Final answer
    x = 326,013.62

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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.