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Finding the Third Proportional to 13,840 and 20,904

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Solution

The third proportional to 13,840 and 20,904 is: 31,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840 : 20,904 = 20,904 : x
  2. Step 2: Convert to fraction form
    13,840/20,904 = 20,904/x
  3. Step 3: Cross multiply
    13,840x = 20,904 × 20,904
  4. Step 4: Simplify right side
    13,840x = 436,977,216
  5. Step 5: Solve for x
    x = 436,977,216/13,840
  6. Step 6: Final answer
    x = 31,573.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.