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Finding the Third Proportional to 9,115 and 13,793

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Solution

The third proportional to 9,115 and 13,793 is: 20,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115 : 13,793 = 13,793 : x
  2. Step 2: Convert to fraction form
    9,115/13,793 = 13,793/x
  3. Step 3: Cross multiply
    9,115x = 13,793 × 13,793
  4. Step 4: Simplify right side
    9,115x = 190,246,849
  5. Step 5: Solve for x
    x = 190,246,849/9,115
  6. Step 6: Final answer
    x = 20,871.84

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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.