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Finding the Third Proportional to 35,821 and 78,204

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Solution

The third proportional to 35,821 and 78,204 is: 170,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,821 : 78,204 = 78,204 : x
  2. Step 2: Convert to fraction form
    35,821/78,204 = 78,204/x
  3. Step 3: Cross multiply
    35,821x = 78,204 × 78,204
  4. Step 4: Simplify right side
    35,821x = 6,115,865,616
  5. Step 5: Solve for x
    x = 6,115,865,616/35,821
  6. Step 6: Final answer
    x = 170,734.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.