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Finding the Third Proportional to 103,685 and 213,913

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Solution

The third proportional to 103,685 and 213,913 is: 441,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,685 : 213,913 = 213,913 : x
  2. Step 2: Convert to fraction form
    103,685/213,913 = 213,913/x
  3. Step 3: Cross multiply
    103,685x = 213,913 × 213,913
  4. Step 4: Simplify right side
    103,685x = 45,758,771,569
  5. Step 5: Solve for x
    x = 45,758,771,569/103,685
  6. Step 6: Final answer
    x = 441,324.89

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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.