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Finding the Third Proportional to 108,660 and 172,899

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Solution

The third proportional to 108,660 and 172,899 is: 275,115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,660 : 172,899 = 172,899 : x
  2. Step 2: Convert to fraction form
    108,660/172,899 = 172,899/x
  3. Step 3: Cross multiply
    108,660x = 172,899 × 172,899
  4. Step 4: Simplify right side
    108,660x = 29,894,064,201
  5. Step 5: Solve for x
    x = 29,894,064,201/108,660
  6. Step 6: Final answer
    x = 275,115.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.