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Finding the Third Proportional to 398,982 and 853,260

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Solution

The third proportional to 398,982 and 853,260 is: 1,824,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,982 : 853,260 = 853,260 : x
  2. Step 2: Convert to fraction form
    398,982/853,260 = 853,260/x
  3. Step 3: Cross multiply
    398,982x = 853,260 × 853,260
  4. Step 4: Simplify right side
    398,982x = 728,052,627,600
  5. Step 5: Solve for x
    x = 728,052,627,600/398,982
  6. Step 6: Final answer
    x = 1,824,775.62

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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.