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Finding the Third Proportional to 398,993 and 853,281

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Solution

The third proportional to 398,993 and 853,281 is: 1,824,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,993 : 853,281 = 853,281 : x
  2. Step 2: Convert to fraction form
    398,993/853,281 = 853,281/x
  3. Step 3: Cross multiply
    398,993x = 853,281 × 853,281
  4. Step 4: Simplify right side
    398,993x = 728,088,464,961
  5. Step 5: Solve for x
    x = 728,088,464,961/398,993
  6. Step 6: Final answer
    x = 1,824,815.13

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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.