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Finding the Third Proportional to 194,135 and 397,680

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Solution

The third proportional to 194,135 and 397,680 is: 814,636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,135 : 397,680 = 397,680 : x
  2. Step 2: Convert to fraction form
    194,135/397,680 = 397,680/x
  3. Step 3: Cross multiply
    194,135x = 397,680 × 397,680
  4. Step 4: Simplify right side
    194,135x = 158,149,382,400
  5. Step 5: Solve for x
    x = 158,149,382,400/194,135
  6. Step 6: Final answer
    x = 814,636.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.