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Finding the Third Proportional to 399,101 and 853,546

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Solution

The third proportional to 399,101 and 853,546 is: 1,825,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,101 : 853,546 = 853,546 : x
  2. Step 2: Convert to fraction form
    399,101/853,546 = 853,546/x
  3. Step 3: Cross multiply
    399,101x = 853,546 × 853,546
  4. Step 4: Simplify right side
    399,101x = 728,540,774,116
  5. Step 5: Solve for x
    x = 728,540,774,116/399,101
  6. Step 6: Final answer
    x = 1,825,454.64

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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.