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Finding the Third Proportional to 107,309 and 211,917

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Solution

The third proportional to 107,309 and 211,917 is: 418,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,309 : 211,917 = 211,917 : x
  2. Step 2: Convert to fraction form
    107,309/211,917 = 211,917/x
  3. Step 3: Cross multiply
    107,309x = 211,917 × 211,917
  4. Step 4: Simplify right side
    107,309x = 44,908,814,889
  5. Step 5: Solve for x
    x = 44,908,814,889/107,309
  6. Step 6: Final answer
    x = 418,499.98

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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.