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Finding the Third Proportional to 15,211 and 20,347

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Solution

The third proportional to 15,211 and 20,347 is: 27,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211 : 20,347 = 20,347 : x
  2. Step 2: Convert to fraction form
    15,211/20,347 = 20,347/x
  3. Step 3: Cross multiply
    15,211x = 20,347 × 20,347
  4. Step 4: Simplify right side
    15,211x = 414,000,409
  5. Step 5: Solve for x
    x = 414,000,409/15,211
  6. Step 6: Final answer
    x = 27,217.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.