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Finding the Third Proportional to 398,911 and 853,879

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Solution

The third proportional to 398,911 and 853,879 is: 1,827,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,911 : 853,879 = 853,879 : x
  2. Step 2: Convert to fraction form
    398,911/853,879 = 853,879/x
  3. Step 3: Cross multiply
    398,911x = 853,879 × 853,879
  4. Step 4: Simplify right side
    398,911x = 729,109,346,641
  5. Step 5: Solve for x
    x = 729,109,346,641/398,911
  6. Step 6: Final answer
    x = 1,827,749.41

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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.