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Finding the Third Proportional to 86,493 and 188,637

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Solution

The third proportional to 86,493 and 188,637 is: 411,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,493 : 188,637 = 188,637 : x
  2. Step 2: Convert to fraction form
    86,493/188,637 = 188,637/x
  3. Step 3: Cross multiply
    86,493x = 188,637 × 188,637
  4. Step 4: Simplify right side
    86,493x = 35,583,917,769
  5. Step 5: Solve for x
    x = 35,583,917,769/86,493
  6. Step 6: Final answer
    x = 411,408.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.