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Finding the Third Proportional to 398,909 and 853,875

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Solution

The third proportional to 398,909 and 853,875 is: 1,827,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,909 : 853,875 = 853,875 : x
  2. Step 2: Convert to fraction form
    398,909/853,875 = 853,875/x
  3. Step 3: Cross multiply
    398,909x = 853,875 × 853,875
  4. Step 4: Simplify right side
    398,909x = 729,102,515,625
  5. Step 5: Solve for x
    x = 729,102,515,625/398,909
  6. Step 6: Final answer
    x = 1,827,741.45

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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.