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Finding the Third Proportional to 398,423 and 863,218

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Solution

The third proportional to 398,423 and 863,218 is: 1,870,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,423 : 863,218 = 863,218 : x
  2. Step 2: Convert to fraction form
    398,423/863,218 = 863,218/x
  3. Step 3: Cross multiply
    398,423x = 863,218 × 863,218
  4. Step 4: Simplify right side
    398,423x = 745,145,315,524
  5. Step 5: Solve for x
    x = 745,145,315,524/398,423
  6. Step 6: Final answer
    x = 1,870,236.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.