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Finding the Third Proportional to 398,996 and 853,288

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Solution

The third proportional to 398,996 and 853,288 is: 1,824,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,996 : 853,288 = 853,288 : x
  2. Step 2: Convert to fraction form
    398,996/853,288 = 853,288/x
  3. Step 3: Cross multiply
    398,996x = 853,288 × 853,288
  4. Step 4: Simplify right side
    398,996x = 728,100,410,944
  5. Step 5: Solve for x
    x = 728,100,410,944/398,996
  6. Step 6: Final answer
    x = 1,824,831.35

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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.