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Finding the Third Proportional to 107,307 and 211,913

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Solution

The third proportional to 107,307 and 211,913 is: 418,491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,307 : 211,913 = 211,913 : x
  2. Step 2: Convert to fraction form
    107,307/211,913 = 211,913/x
  3. Step 3: Cross multiply
    107,307x = 211,913 × 211,913
  4. Step 4: Simplify right side
    107,307x = 44,907,119,569
  5. Step 5: Solve for x
    x = 44,907,119,569/107,307
  6. Step 6: Final answer
    x = 418,491.99

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.