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Finding the Third Proportional to 81,828 and 126,998

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Solution

The third proportional to 81,828 and 126,998 is: 197,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,828 : 126,998 = 126,998 : x
  2. Step 2: Convert to fraction form
    81,828/126,998 = 126,998/x
  3. Step 3: Cross multiply
    81,828x = 126,998 × 126,998
  4. Step 4: Simplify right side
    81,828x = 16,128,492,004
  5. Step 5: Solve for x
    x = 16,128,492,004/81,828
  6. Step 6: Final answer
    x = 197,102.36

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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.