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Finding the Third Proportional to 69,903 and 164,187

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Solution

The third proportional to 69,903 and 164,187 is: 385,639.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,903 : 164,187 = 164,187 : x
  2. Step 2: Convert to fraction form
    69,903/164,187 = 164,187/x
  3. Step 3: Cross multiply
    69,903x = 164,187 × 164,187
  4. Step 4: Simplify right side
    69,903x = 26,957,370,969
  5. Step 5: Solve for x
    x = 26,957,370,969/69,903
  6. Step 6: Final answer
    x = 385,639.69

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.