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Finding the Third Proportional to 78,206 and 171,965

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Solution

The third proportional to 78,206 and 171,965 is: 378,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,206 : 171,965 = 171,965 : x
  2. Step 2: Convert to fraction form
    78,206/171,965 = 171,965/x
  3. Step 3: Cross multiply
    78,206x = 171,965 × 171,965
  4. Step 4: Simplify right side
    78,206x = 29,571,961,225
  5. Step 5: Solve for x
    x = 29,571,961,225/78,206
  6. Step 6: Final answer
    x = 378,129.06

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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.