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Finding the Third Proportional to 64,831 and 105,861

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Solution

The third proportional to 64,831 and 105,861 is: 172,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,831 : 105,861 = 105,861 : x
  2. Step 2: Convert to fraction form
    64,831/105,861 = 105,861/x
  3. Step 3: Cross multiply
    64,831x = 105,861 × 105,861
  4. Step 4: Simplify right side
    64,831x = 11,206,551,321
  5. Step 5: Solve for x
    x = 11,206,551,321/64,831
  6. Step 6: Final answer
    x = 172,857.91

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.