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Finding the Third Proportional to 86,586 and 189,212

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Solution

The third proportional to 86,586 and 189,212 is: 413,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,586 : 189,212 = 189,212 : x
  2. Step 2: Convert to fraction form
    86,586/189,212 = 189,212/x
  3. Step 3: Cross multiply
    86,586x = 189,212 × 189,212
  4. Step 4: Simplify right side
    86,586x = 35,801,180,944
  5. Step 5: Solve for x
    x = 35,801,180,944/86,586
  6. Step 6: Final answer
    x = 413,475.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.