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Finding the Third Proportional to 99,729 and 149,256

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Solution

The third proportional to 99,729 and 149,256 is: 223,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,729 : 149,256 = 149,256 : x
  2. Step 2: Convert to fraction form
    99,729/149,256 = 149,256/x
  3. Step 3: Cross multiply
    99,729x = 149,256 × 149,256
  4. Step 4: Simplify right side
    99,729x = 22,277,353,536
  5. Step 5: Solve for x
    x = 22,277,353,536/99,729
  6. Step 6: Final answer
    x = 223,378.89

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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.