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Finding the Third Proportional to 99,058 and 172,891

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Solution

The third proportional to 99,058 and 172,891 is: 301,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,058 : 172,891 = 172,891 : x
  2. Step 2: Convert to fraction form
    99,058/172,891 = 172,891/x
  3. Step 3: Cross multiply
    99,058x = 172,891 × 172,891
  4. Step 4: Simplify right side
    99,058x = 29,891,297,881
  5. Step 5: Solve for x
    x = 29,891,297,881/99,058
  6. Step 6: Final answer
    x = 301,755.52

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.