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Finding the Third Proportional to 99,728 and 149,254

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Solution

The third proportional to 99,728 and 149,254 is: 223,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,728 : 149,254 = 149,254 : x
  2. Step 2: Convert to fraction form
    99,728/149,254 = 149,254/x
  3. Step 3: Cross multiply
    99,728x = 149,254 × 149,254
  4. Step 4: Simplify right side
    99,728x = 22,276,756,516
  5. Step 5: Solve for x
    x = 22,276,756,516/99,728
  6. Step 6: Final answer
    x = 223,375.15

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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.