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Finding the Third Proportional to 200,758 and 445,802

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Solution

The third proportional to 200,758 and 445,802 is: 989,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,758 : 445,802 = 445,802 : x
  2. Step 2: Convert to fraction form
    200,758/445,802 = 445,802/x
  3. Step 3: Cross multiply
    200,758x = 445,802 × 445,802
  4. Step 4: Simplify right side
    200,758x = 198,739,423,204
  5. Step 5: Solve for x
    x = 198,739,423,204/200,758
  6. Step 6: Final answer
    x = 989,945.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.