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Finding the Third Proportional to 9,121 and 13,747

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Solution

The third proportional to 9,121 and 13,747 is: 20,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121 : 13,747 = 13,747 : x
  2. Step 2: Convert to fraction form
    9,121/13,747 = 13,747/x
  3. Step 3: Cross multiply
    9,121x = 13,747 × 13,747
  4. Step 4: Simplify right side
    9,121x = 188,980,009
  5. Step 5: Solve for x
    x = 188,980,009/9,121
  6. Step 6: Final answer
    x = 20,719.22

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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.