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Finding the Third Proportional to 15,400 and 17,664

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Solution

The third proportional to 15,400 and 17,664 is: 20,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400 : 17,664 = 17,664 : x
  2. Step 2: Convert to fraction form
    15,400/17,664 = 17,664/x
  3. Step 3: Cross multiply
    15,400x = 17,664 × 17,664
  4. Step 4: Simplify right side
    15,400x = 312,016,896
  5. Step 5: Solve for x
    x = 312,016,896/15,400
  6. Step 6: Final answer
    x = 20,260.84

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.