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Finding the Third Proportional to 67,978 and 146,873

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Solution

The third proportional to 67,978 and 146,873 is: 317,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,978 : 146,873 = 146,873 : x
  2. Step 2: Convert to fraction form
    67,978/146,873 = 146,873/x
  3. Step 3: Cross multiply
    67,978x = 146,873 × 146,873
  4. Step 4: Simplify right side
    67,978x = 21,571,678,129
  5. Step 5: Solve for x
    x = 21,571,678,129/67,978
  6. Step 6: Final answer
    x = 317,333.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.