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Finding the Third Proportional to 9,691 and 21,131

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Solution

The third proportional to 9,691 and 21,131 is: 46,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691 : 21,131 = 21,131 : x
  2. Step 2: Convert to fraction form
    9,691/21,131 = 21,131/x
  3. Step 3: Cross multiply
    9,691x = 21,131 × 21,131
  4. Step 4: Simplify right side
    9,691x = 446,519,161
  5. Step 5: Solve for x
    x = 446,519,161/9,691
  6. Step 6: Final answer
    x = 46,075.65

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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.