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Finding the Third Proportional to 9,121 and 13,043

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Solution

The third proportional to 9,121 and 13,043 is: 18,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121 : 13,043 = 13,043 : x
  2. Step 2: Convert to fraction form
    9,121/13,043 = 13,043/x
  3. Step 3: Cross multiply
    9,121x = 13,043 × 13,043
  4. Step 4: Simplify right side
    9,121x = 170,119,849
  5. Step 5: Solve for x
    x = 170,119,849/9,121
  6. Step 6: Final answer
    x = 18,651.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.