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Finding the Third Proportional to 200,674 and 434,974

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Solution

The third proportional to 200,674 and 434,974 is: 942,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,674 : 434,974 = 434,974 : x
  2. Step 2: Convert to fraction form
    200,674/434,974 = 434,974/x
  3. Step 3: Cross multiply
    200,674x = 434,974 × 434,974
  4. Step 4: Simplify right side
    200,674x = 189,202,380,676
  5. Step 5: Solve for x
    x = 189,202,380,676/200,674
  6. Step 6: Final answer
    x = 942,834.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.