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Finding the Third Proportional to 100,020 and 140,667

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Solution

The third proportional to 100,020 and 140,667 is: 197,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,020 : 140,667 = 140,667 : x
  2. Step 2: Convert to fraction form
    100,020/140,667 = 140,667/x
  3. Step 3: Cross multiply
    100,020x = 140,667 × 140,667
  4. Step 4: Simplify right side
    100,020x = 19,787,204,889
  5. Step 5: Solve for x
    x = 19,787,204,889/100,020
  6. Step 6: Final answer
    x = 197,832.48

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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.