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Finding the Third Proportional to 29,009 and 61,812

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Solution

The third proportional to 29,009 and 61,812 is: 131,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,009 : 61,812 = 61,812 : x
  2. Step 2: Convert to fraction form
    29,009/61,812 = 61,812/x
  3. Step 3: Cross multiply
    29,009x = 61,812 × 61,812
  4. Step 4: Simplify right side
    29,009x = 3,820,723,344
  5. Step 5: Solve for x
    x = 3,820,723,344/29,009
  6. Step 6: Final answer
    x = 131,708.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.