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Finding the Third Proportional to 86,586 and 185,634

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Solution

The third proportional to 86,586 and 185,634 is: 397,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,586 : 185,634 = 185,634 : x
  2. Step 2: Convert to fraction form
    86,586/185,634 = 185,634/x
  3. Step 3: Cross multiply
    86,586x = 185,634 × 185,634
  4. Step 4: Simplify right side
    86,586x = 34,459,981,956
  5. Step 5: Solve for x
    x = 34,459,981,956/86,586
  6. Step 6: Final answer
    x = 397,985.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.