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Finding the Third Proportional to 200,880 and 445,816

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Solution

The third proportional to 200,880 and 445,816 is: 989,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,880 : 445,816 = 445,816 : x
  2. Step 2: Convert to fraction form
    200,880/445,816 = 445,816/x
  3. Step 3: Cross multiply
    200,880x = 445,816 × 445,816
  4. Step 4: Simplify right side
    200,880x = 198,751,905,856
  5. Step 5: Solve for x
    x = 198,751,905,856/200,880
  6. Step 6: Final answer
    x = 989,406.14

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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.