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Finding the Third Proportional to 84,576 and 126,447

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Solution

The third proportional to 84,576 and 126,447 is: 189,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,576 : 126,447 = 126,447 : x
  2. Step 2: Convert to fraction form
    84,576/126,447 = 126,447/x
  3. Step 3: Cross multiply
    84,576x = 126,447 × 126,447
  4. Step 4: Simplify right side
    84,576x = 15,988,843,809
  5. Step 5: Solve for x
    x = 15,988,843,809/84,576
  6. Step 6: Final answer
    x = 189,047.06

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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.