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Finding the Third Proportional to 15,400 and 20,904

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Solution

The third proportional to 15,400 and 20,904 is: 28,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400 : 20,904 = 20,904 : x
  2. Step 2: Convert to fraction form
    15,400/20,904 = 20,904/x
  3. Step 3: Cross multiply
    15,400x = 20,904 × 20,904
  4. Step 4: Simplify right side
    15,400x = 436,977,216
  5. Step 5: Solve for x
    x = 436,977,216/15,400
  6. Step 6: Final answer
    x = 28,375.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.