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Finding the Third Proportional to 87,669 and 191,742

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Solution

The third proportional to 87,669 and 191,742 is: 419,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,669 : 191,742 = 191,742 : x
  2. Step 2: Convert to fraction form
    87,669/191,742 = 191,742/x
  3. Step 3: Cross multiply
    87,669x = 191,742 × 191,742
  4. Step 4: Simplify right side
    87,669x = 36,764,994,564
  5. Step 5: Solve for x
    x = 36,764,994,564/87,669
  6. Step 6: Final answer
    x = 419,361.40

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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.