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Finding the Third Proportional to 100,626 and 140,661

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Solution

The third proportional to 100,626 and 140,661 is: 196,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,626 : 140,661 = 140,661 : x
  2. Step 2: Convert to fraction form
    100,626/140,661 = 140,661/x
  3. Step 3: Cross multiply
    100,626x = 140,661 × 140,661
  4. Step 4: Simplify right side
    100,626x = 19,785,516,921
  5. Step 5: Solve for x
    x = 19,785,516,921/100,626
  6. Step 6: Final answer
    x = 196,624.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.