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Finding the Third Proportional to 68,328 and 146,866

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Solution

The third proportional to 68,328 and 146,866 is: 315,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,328 : 146,866 = 146,866 : x
  2. Step 2: Convert to fraction form
    68,328/146,866 = 146,866/x
  3. Step 3: Cross multiply
    68,328x = 146,866 × 146,866
  4. Step 4: Simplify right side
    68,328x = 21,569,621,956
  5. Step 5: Solve for x
    x = 21,569,621,956/68,328
  6. Step 6: Final answer
    x = 315,677.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.