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Finding the Third Proportional to 189,675 and 408,756

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Solution

The third proportional to 189,675 and 408,756 is: 880,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,675 : 408,756 = 408,756 : x
  2. Step 2: Convert to fraction form
    189,675/408,756 = 408,756/x
  3. Step 3: Cross multiply
    189,675x = 408,756 × 408,756
  4. Step 4: Simplify right side
    189,675x = 167,081,467,536
  5. Step 5: Solve for x
    x = 167,081,467,536/189,675
  6. Step 6: Final answer
    x = 880,882.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.