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Finding the Third Proportional to 15,174 and 20,361

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Solution

The third proportional to 15,174 and 20,361 is: 27,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174 : 20,361 = 20,361 : x
  2. Step 2: Convert to fraction form
    15,174/20,361 = 20,361/x
  3. Step 3: Cross multiply
    15,174x = 20,361 × 20,361
  4. Step 4: Simplify right side
    15,174x = 414,570,321
  5. Step 5: Solve for x
    x = 414,570,321/15,174
  6. Step 6: Final answer
    x = 27,321.10

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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.