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Finding the Third Proportional to 68,583 and 149,979

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Solution

The third proportional to 68,583 and 149,979 is: 327,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,583 : 149,979 = 149,979 : x
  2. Step 2: Convert to fraction form
    68,583/149,979 = 149,979/x
  3. Step 3: Cross multiply
    68,583x = 149,979 × 149,979
  4. Step 4: Simplify right side
    68,583x = 22,493,700,441
  5. Step 5: Solve for x
    x = 22,493,700,441/68,583
  6. Step 6: Final answer
    x = 327,977.79

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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.