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Finding the Third Proportional to 126,222 and 189,657

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Solution

The third proportional to 126,222 and 189,657 is: 284,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,222 : 189,657 = 189,657 : x
  2. Step 2: Convert to fraction form
    126,222/189,657 = 189,657/x
  3. Step 3: Cross multiply
    126,222x = 189,657 × 189,657
  4. Step 4: Simplify right side
    126,222x = 35,969,777,649
  5. Step 5: Solve for x
    x = 35,969,777,649/126,222
  6. Step 6: Final answer
    x = 284,972.33

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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.