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Finding the Third Proportional to 64,086 and 140,652

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Solution

The third proportional to 64,086 and 140,652 is: 308,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,086 : 140,652 = 140,652 : x
  2. Step 2: Convert to fraction form
    64,086/140,652 = 140,652/x
  3. Step 3: Cross multiply
    64,086x = 140,652 × 140,652
  4. Step 4: Simplify right side
    64,086x = 19,782,985,104
  5. Step 5: Solve for x
    x = 19,782,985,104/64,086
  6. Step 6: Final answer
    x = 308,694.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.