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Finding the Third Proportional to 398,313 and 863,027

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Solution

The third proportional to 398,313 and 863,027 is: 1,869,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,313 : 863,027 = 863,027 : x
  2. Step 2: Convert to fraction form
    398,313/863,027 = 863,027/x
  3. Step 3: Cross multiply
    398,313x = 863,027 × 863,027
  4. Step 4: Simplify right side
    398,313x = 744,815,602,729
  5. Step 5: Solve for x
    x = 744,815,602,729/398,313
  6. Step 6: Final answer
    x = 1,869,925.42

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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.