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Finding the Third Proportional to 36,517 and 78,569

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Solution

The third proportional to 36,517 and 78,569 is: 169,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,517 : 78,569 = 78,569 : x
  2. Step 2: Convert to fraction form
    36,517/78,569 = 78,569/x
  3. Step 3: Cross multiply
    36,517x = 78,569 × 78,569
  4. Step 4: Simplify right side
    36,517x = 6,173,087,761
  5. Step 5: Solve for x
    x = 6,173,087,761/36,517
  6. Step 6: Final answer
    x = 169,046.96

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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.