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Finding the Third Proportional to 35,859 and 78,794

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Solution

The third proportional to 35,859 and 78,794 is: 173,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,859 : 78,794 = 78,794 : x
  2. Step 2: Convert to fraction form
    35,859/78,794 = 78,794/x
  3. Step 3: Cross multiply
    35,859x = 78,794 × 78,794
  4. Step 4: Simplify right side
    35,859x = 6,208,494,436
  5. Step 5: Solve for x
    x = 6,208,494,436/35,859
  6. Step 6: Final answer
    x = 173,136.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.