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Finding the Third Proportional to 107,517 and 212,385

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Solution

The third proportional to 107,517 and 212,385 is: 419,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,517 : 212,385 = 212,385 : x
  2. Step 2: Convert to fraction form
    107,517/212,385 = 212,385/x
  3. Step 3: Cross multiply
    107,517x = 212,385 × 212,385
  4. Step 4: Simplify right side
    107,517x = 45,107,388,225
  5. Step 5: Solve for x
    x = 45,107,388,225/107,517
  6. Step 6: Final answer
    x = 419,537.27

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.