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Finding the Third Proportional to 84,660 and 126,576

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Solution

The third proportional to 84,660 and 126,576 is: 189,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,660 : 126,576 = 126,576 : x
  2. Step 2: Convert to fraction form
    84,660/126,576 = 126,576/x
  3. Step 3: Cross multiply
    84,660x = 126,576 × 126,576
  4. Step 4: Simplify right side
    84,660x = 16,021,483,776
  5. Step 5: Solve for x
    x = 16,021,483,776/84,660
  6. Step 6: Final answer
    x = 189,245.02

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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.