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Finding the Third Proportional to 68,478 and 146,622

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Solution

The third proportional to 68,478 and 146,622 is: 313,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,478 : 146,622 = 146,622 : x
  2. Step 2: Convert to fraction form
    68,478/146,622 = 146,622/x
  3. Step 3: Cross multiply
    68,478x = 146,622 × 146,622
  4. Step 4: Simplify right side
    68,478x = 21,498,010,884
  5. Step 5: Solve for x
    x = 21,498,010,884/68,478
  6. Step 6: Final answer
    x = 313,940.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.