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Finding the Third Proportional to 64,809 and 131,922

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Solution

The third proportional to 64,809 and 131,922 is: 268,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,809 : 131,922 = 131,922 : x
  2. Step 2: Convert to fraction form
    64,809/131,922 = 131,922/x
  3. Step 3: Cross multiply
    64,809x = 131,922 × 131,922
  4. Step 4: Simplify right side
    64,809x = 17,403,414,084
  5. Step 5: Solve for x
    x = 17,403,414,084/64,809
  6. Step 6: Final answer
    x = 268,533.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.