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Finding the Third Proportional to 9,211 and 19,645

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Solution

The third proportional to 9,211 and 19,645 is: 41,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211 : 19,645 = 19,645 : x
  2. Step 2: Convert to fraction form
    9,211/19,645 = 19,645/x
  3. Step 3: Cross multiply
    9,211x = 19,645 × 19,645
  4. Step 4: Simplify right side
    9,211x = 385,926,025
  5. Step 5: Solve for x
    x = 385,926,025/9,211
  6. Step 6: Final answer
    x = 41,898.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.