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Finding the Third Proportional to 126,747 and 189,722

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Solution

The third proportional to 126,747 and 189,722 is: 283,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,747 : 189,722 = 189,722 : x
  2. Step 2: Convert to fraction form
    126,747/189,722 = 189,722/x
  3. Step 3: Cross multiply
    126,747x = 189,722 × 189,722
  4. Step 4: Simplify right side
    126,747x = 35,994,437,284
  5. Step 5: Solve for x
    x = 35,994,437,284/126,747
  6. Step 6: Final answer
    x = 283,986.50

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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.