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Finding the Third Proportional to 404,218 and 880,198

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Solution

The third proportional to 404,218 and 880,198 is: 1,916,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,218 : 880,198 = 880,198 : x
  2. Step 2: Convert to fraction form
    404,218/880,198 = 880,198/x
  3. Step 3: Cross multiply
    404,218x = 880,198 × 880,198
  4. Step 4: Simplify right side
    404,218x = 774,748,519,204
  5. Step 5: Solve for x
    x = 774,748,519,204/404,218
  6. Step 6: Final answer
    x = 1,916,660.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.