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Finding the Third Proportional to 103,674 and 213,891

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Solution

The third proportional to 103,674 and 213,891 is: 441,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,674 : 213,891 = 213,891 : x
  2. Step 2: Convert to fraction form
    103,674/213,891 = 213,891/x
  3. Step 3: Cross multiply
    103,674x = 213,891 × 213,891
  4. Step 4: Simplify right side
    103,674x = 45,749,359,881
  5. Step 5: Solve for x
    x = 45,749,359,881/103,674
  6. Step 6: Final answer
    x = 441,280.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.