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Finding the Third Proportional to 126,148 and 189,749

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Solution

The third proportional to 126,148 and 189,749 is: 285,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,148 : 189,749 = 189,749 : x
  2. Step 2: Convert to fraction form
    126,148/189,749 = 189,749/x
  3. Step 3: Cross multiply
    126,148x = 189,749 × 189,749
  4. Step 4: Simplify right side
    126,148x = 36,004,683,001
  5. Step 5: Solve for x
    x = 36,004,683,001/126,148
  6. Step 6: Final answer
    x = 285,416.20

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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.