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Finding the Third Proportional to 149,927 and 322,086

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Solution

The third proportional to 149,927 and 322,086 is: 691,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,927 : 322,086 = 322,086 : x
  2. Step 2: Convert to fraction form
    149,927/322,086 = 322,086/x
  3. Step 3: Cross multiply
    149,927x = 322,086 × 322,086
  4. Step 4: Simplify right side
    149,927x = 103,739,391,396
  5. Step 5: Solve for x
    x = 103,739,391,396/149,927
  6. Step 6: Final answer
    x = 691,932.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.