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Finding the Third Proportional to 101,508 and 217,977

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Solution

The third proportional to 101,508 and 217,977 is: 468,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,508 : 217,977 = 217,977 : x
  2. Step 2: Convert to fraction form
    101,508/217,977 = 217,977/x
  3. Step 3: Cross multiply
    101,508x = 217,977 × 217,977
  4. Step 4: Simplify right side
    101,508x = 47,513,972,529
  5. Step 5: Solve for x
    x = 47,513,972,529/101,508
  6. Step 6: Final answer
    x = 468,081.06

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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.