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Finding the Third Proportional to 194,756 and 409,190

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Solution

The third proportional to 194,756 and 409,190 is: 859,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,756 : 409,190 = 409,190 : x
  2. Step 2: Convert to fraction form
    194,756/409,190 = 409,190/x
  3. Step 3: Cross multiply
    194,756x = 409,190 × 409,190
  4. Step 4: Simplify right side
    194,756x = 167,436,456,100
  5. Step 5: Solve for x
    x = 167,436,456,100/194,756
  6. Step 6: Final answer
    x = 859,724.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.