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Finding the Third Proportional to 79,866 and 189,918

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Solution

The third proportional to 79,866 and 189,918 is: 451,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,866 : 189,918 = 189,918 : x
  2. Step 2: Convert to fraction form
    79,866/189,918 = 189,918/x
  3. Step 3: Cross multiply
    79,866x = 189,918 × 189,918
  4. Step 4: Simplify right side
    79,866x = 36,068,846,724
  5. Step 5: Solve for x
    x = 36,068,846,724/79,866
  6. Step 6: Final answer
    x = 451,617.04

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.