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Finding the Third Proportional to 87,738 and 191,928

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Solution

The third proportional to 87,738 and 191,928 is: 419,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,738 : 191,928 = 191,928 : x
  2. Step 2: Convert to fraction form
    87,738/191,928 = 191,928/x
  3. Step 3: Cross multiply
    87,738x = 191,928 × 191,928
  4. Step 4: Simplify right side
    87,738x = 36,836,357,184
  5. Step 5: Solve for x
    x = 36,836,357,184/87,738
  6. Step 6: Final answer
    x = 419,844.96

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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.