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Finding the Third Proportional to 81,735 and 126,612

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Solution

The third proportional to 81,735 and 126,612 is: 196,128.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,735 : 126,612 = 126,612 : x
  2. Step 2: Convert to fraction form
    81,735/126,612 = 126,612/x
  3. Step 3: Cross multiply
    81,735x = 126,612 × 126,612
  4. Step 4: Simplify right side
    81,735x = 16,030,598,544
  5. Step 5: Solve for x
    x = 16,030,598,544/81,735
  6. Step 6: Final answer
    x = 196,128.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.