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Finding the Third Proportional to 200,568 and 417,948

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Solution

The third proportional to 200,568 and 417,948 is: 870,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,568 : 417,948 = 417,948 : x
  2. Step 2: Convert to fraction form
    200,568/417,948 = 417,948/x
  3. Step 3: Cross multiply
    200,568x = 417,948 × 417,948
  4. Step 4: Simplify right side
    200,568x = 174,680,530,704
  5. Step 5: Solve for x
    x = 174,680,530,704/200,568
  6. Step 6: Final answer
    x = 870,929.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.