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Finding the Third Proportional to 84,722 and 126,672

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Solution

The third proportional to 84,722 and 126,672 is: 189,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,722 : 126,672 = 126,672 : x
  2. Step 2: Convert to fraction form
    84,722/126,672 = 126,672/x
  3. Step 3: Cross multiply
    84,722x = 126,672 × 126,672
  4. Step 4: Simplify right side
    84,722x = 16,045,795,584
  5. Step 5: Solve for x
    x = 16,045,795,584/84,722
  6. Step 6: Final answer
    x = 189,393.49

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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.