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Finding the Third Proportional to 414,218 and 887,418

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Solution

The third proportional to 414,218 and 887,418 is: 1,901,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,218 : 887,418 = 887,418 : x
  2. Step 2: Convert to fraction form
    414,218/887,418 = 887,418/x
  3. Step 3: Cross multiply
    414,218x = 887,418 × 887,418
  4. Step 4: Simplify right side
    414,218x = 787,510,706,724
  5. Step 5: Solve for x
    x = 787,510,706,724/414,218
  6. Step 6: Final answer
    x = 1,901,198.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.