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Finding the Third Proportional to 87,412 and 191,636

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Solution

The third proportional to 87,412 and 191,636 is: 420,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,412 : 191,636 = 191,636 : x
  2. Step 2: Convert to fraction form
    87,412/191,636 = 191,636/x
  3. Step 3: Cross multiply
    87,412x = 191,636 × 191,636
  4. Step 4: Simplify right side
    87,412x = 36,724,356,496
  5. Step 5: Solve for x
    x = 36,724,356,496/87,412
  6. Step 6: Final answer
    x = 420,129.46

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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.