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Finding the Third Proportional to 69,257 and 161,843

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Solution

The third proportional to 69,257 and 161,843 is: 378,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,257 : 161,843 = 161,843 : x
  2. Step 2: Convert to fraction form
    69,257/161,843 = 161,843/x
  3. Step 3: Cross multiply
    69,257x = 161,843 × 161,843
  4. Step 4: Simplify right side
    69,257x = 26,193,156,649
  5. Step 5: Solve for x
    x = 26,193,156,649/69,257
  6. Step 6: Final answer
    x = 378,202.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.