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Finding the Third Proportional to 99,660 and 149,778

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Solution

The third proportional to 99,660 and 149,778 is: 225,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,660 : 149,778 = 149,778 : x
  2. Step 2: Convert to fraction form
    99,660/149,778 = 149,778/x
  3. Step 3: Cross multiply
    99,660x = 149,778 × 149,778
  4. Step 4: Simplify right side
    99,660x = 22,433,449,284
  5. Step 5: Solve for x
    x = 22,433,449,284/99,660
  6. Step 6: Final answer
    x = 225,099.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.