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Finding the Third Proportional to 86,486 and 187,189

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Solution

The third proportional to 86,486 and 187,189 is: 405,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,486 : 187,189 = 187,189 : x
  2. Step 2: Convert to fraction form
    86,486/187,189 = 187,189/x
  3. Step 3: Cross multiply
    86,486x = 187,189 × 187,189
  4. Step 4: Simplify right side
    86,486x = 35,039,721,721
  5. Step 5: Solve for x
    x = 35,039,721,721/86,486
  6. Step 6: Final answer
    x = 405,149.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.