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Finding the Third Proportional to 111,505 and 172,175

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Solution

The third proportional to 111,505 and 172,175 is: 265,855.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,505 : 172,175 = 172,175 : x
  2. Step 2: Convert to fraction form
    111,505/172,175 = 172,175/x
  3. Step 3: Cross multiply
    111,505x = 172,175 × 172,175
  4. Step 4: Simplify right side
    111,505x = 29,644,230,625
  5. Step 5: Solve for x
    x = 29,644,230,625/111,505
  6. Step 6: Final answer
    x = 265,855.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.