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Finding the Third Proportional to 398,421 and 863,214

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Solution

The third proportional to 398,421 and 863,214 is: 1,870,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,421 : 863,214 = 863,214 : x
  2. Step 2: Convert to fraction form
    398,421/863,214 = 863,214/x
  3. Step 3: Cross multiply
    398,421x = 863,214 × 863,214
  4. Step 4: Simplify right side
    398,421x = 745,138,409,796
  5. Step 5: Solve for x
    x = 745,138,409,796/398,421
  6. Step 6: Final answer
    x = 1,870,228.75

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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.