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Finding the Third Proportional to 108,081 and 172,661

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Solution

The third proportional to 108,081 and 172,661 is: 275,828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,081 : 172,661 = 172,661 : x
  2. Step 2: Convert to fraction form
    108,081/172,661 = 172,661/x
  3. Step 3: Cross multiply
    108,081x = 172,661 × 172,661
  4. Step 4: Simplify right side
    108,081x = 29,811,820,921
  5. Step 5: Solve for x
    x = 29,811,820,921/108,081
  6. Step 6: Final answer
    x = 275,828.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.