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Finding the Third Proportional to 16,979 and 36,569

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Solution

The third proportional to 16,979 and 36,569 is: 78,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,979 : 36,569 = 36,569 : x
  2. Step 2: Convert to fraction form
    16,979/36,569 = 36,569/x
  3. Step 3: Cross multiply
    16,979x = 36,569 × 36,569
  4. Step 4: Simplify right side
    16,979x = 1,337,291,761
  5. Step 5: Solve for x
    x = 1,337,291,761/16,979
  6. Step 6: Final answer
    x = 78,761.51

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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.