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Finding the Third Proportional to 86,703 and 188,169

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Solution

The third proportional to 86,703 and 188,169 is: 408,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,703 : 188,169 = 188,169 : x
  2. Step 2: Convert to fraction form
    86,703/188,169 = 188,169/x
  3. Step 3: Cross multiply
    86,703x = 188,169 × 188,169
  4. Step 4: Simplify right side
    86,703x = 35,407,572,561
  5. Step 5: Solve for x
    x = 35,407,572,561/86,703
  6. Step 6: Final answer
    x = 408,377.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.