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Finding the Third Proportional to 21,082 and 29,655

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Solution

The third proportional to 21,082 and 29,655 is: 41,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082 : 29,655 = 29,655 : x
  2. Step 2: Convert to fraction form
    21,082/29,655 = 29,655/x
  3. Step 3: Cross multiply
    21,082x = 29,655 × 29,655
  4. Step 4: Simplify right side
    21,082x = 879,419,025
  5. Step 5: Solve for x
    x = 879,419,025/21,082
  6. Step 6: Final answer
    x = 41,714.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.