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Finding the Third Proportional to 100,066 and 140,739

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Solution

The third proportional to 100,066 and 140,739 is: 197,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,066 : 140,739 = 140,739 : x
  2. Step 2: Convert to fraction form
    100,066/140,739 = 140,739/x
  3. Step 3: Cross multiply
    100,066x = 140,739 × 140,739
  4. Step 4: Simplify right side
    100,066x = 19,807,466,121
  5. Step 5: Solve for x
    x = 19,807,466,121/100,066
  6. Step 6: Final answer
    x = 197,944.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.