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Finding the Third Proportional to 67,977 and 149,086

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Solution

The third proportional to 67,977 and 149,086 is: 326,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,977 : 149,086 = 149,086 : x
  2. Step 2: Convert to fraction form
    67,977/149,086 = 149,086/x
  3. Step 3: Cross multiply
    67,977x = 149,086 × 149,086
  4. Step 4: Simplify right side
    67,977x = 22,226,635,396
  5. Step 5: Solve for x
    x = 22,226,635,396/67,977
  6. Step 6: Final answer
    x = 326,972.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.