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Finding the Third Proportional to 86,121 and 187,191

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Solution

The third proportional to 86,121 and 187,191 is: 406,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,121 : 187,191 = 187,191 : x
  2. Step 2: Convert to fraction form
    86,121/187,191 = 187,191/x
  3. Step 3: Cross multiply
    86,121x = 187,191 × 187,191
  4. Step 4: Simplify right side
    86,121x = 35,040,470,481
  5. Step 5: Solve for x
    x = 35,040,470,481/86,121
  6. Step 6: Final answer
    x = 406,874.87

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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.