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Finding the Third Proportional to 100,772 and 150,631

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Solution

The third proportional to 100,772 and 150,631 is: 225,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,772 : 150,631 = 150,631 : x
  2. Step 2: Convert to fraction form
    100,772/150,631 = 150,631/x
  3. Step 3: Cross multiply
    100,772x = 150,631 × 150,631
  4. Step 4: Simplify right side
    100,772x = 22,689,698,161
  5. Step 5: Solve for x
    x = 22,689,698,161/100,772
  6. Step 6: Final answer
    x = 225,158.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.