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Finding the Third Proportional to 9,691 and 21,113

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Solution

The third proportional to 9,691 and 21,113 is: 45,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691 : 21,113 = 21,113 : x
  2. Step 2: Convert to fraction form
    9,691/21,113 = 21,113/x
  3. Step 3: Cross multiply
    9,691x = 21,113 × 21,113
  4. Step 4: Simplify right side
    9,691x = 445,758,769
  5. Step 5: Solve for x
    x = 445,758,769/9,691
  6. Step 6: Final answer
    x = 45,997.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.