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Finding the Third Proportional to 131,670 and 279,027

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Solution

The third proportional to 131,670 and 279,027 is: 591,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,670 : 279,027 = 279,027 : x
  2. Step 2: Convert to fraction form
    131,670/279,027 = 279,027/x
  3. Step 3: Cross multiply
    131,670x = 279,027 × 279,027
  4. Step 4: Simplify right side
    131,670x = 77,856,066,729
  5. Step 5: Solve for x
    x = 77,856,066,729/131,670
  6. Step 6: Final answer
    x = 591,296.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.