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Finding the Third Proportional to 398,400 and 857,216

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Solution

The third proportional to 398,400 and 857,216 is: 1,844,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,400 : 857,216 = 857,216 : x
  2. Step 2: Convert to fraction form
    398,400/857,216 = 857,216/x
  3. Step 3: Cross multiply
    398,400x = 857,216 × 857,216
  4. Step 4: Simplify right side
    398,400x = 734,819,270,656
  5. Step 5: Solve for x
    x = 734,819,270,656/398,400
  6. Step 6: Final answer
    x = 1,844,425.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.