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Finding the Third Proportional to 77,950 and 171,788

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Solution

The third proportional to 77,950 and 171,788 is: 378,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,950 : 171,788 = 171,788 : x
  2. Step 2: Convert to fraction form
    77,950/171,788 = 171,788/x
  3. Step 3: Cross multiply
    77,950x = 171,788 × 171,788
  4. Step 4: Simplify right side
    77,950x = 29,511,116,944
  5. Step 5: Solve for x
    x = 29,511,116,944/77,950
  6. Step 6: Final answer
    x = 378,590.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.