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Finding the Third Proportional to 398,938 and 853,928

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Solution

The third proportional to 398,938 and 853,928 is: 1,827,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,938 : 853,928 = 853,928 : x
  2. Step 2: Convert to fraction form
    398,938/853,928 = 853,928/x
  3. Step 3: Cross multiply
    398,938x = 853,928 × 853,928
  4. Step 4: Simplify right side
    398,938x = 729,193,029,184
  5. Step 5: Solve for x
    x = 729,193,029,184/398,938
  6. Step 6: Final answer
    x = 1,827,835.48

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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.