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Finding the Third Proportional to 400,034 and 853,636

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Solution

The third proportional to 400,034 and 853,636 is: 1,821,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,034 : 853,636 = 853,636 : x
  2. Step 2: Convert to fraction form
    400,034/853,636 = 853,636/x
  3. Step 3: Cross multiply
    400,034x = 853,636 × 853,636
  4. Step 4: Simplify right side
    400,034x = 728,694,420,496
  5. Step 5: Solve for x
    x = 728,694,420,496/400,034
  6. Step 6: Final answer
    x = 1,821,581.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.