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Finding the Third Proportional to 9,691 and 20,963

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Solution

The third proportional to 9,691 and 20,963 is: 45,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691 : 20,963 = 20,963 : x
  2. Step 2: Convert to fraction form
    9,691/20,963 = 20,963/x
  3. Step 3: Cross multiply
    9,691x = 20,963 × 20,963
  4. Step 4: Simplify right side
    9,691x = 439,447,369
  5. Step 5: Solve for x
    x = 439,447,369/9,691
  6. Step 6: Final answer
    x = 45,345.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.