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Finding the Third Proportional to 81,752 and 126,636

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Solution

The third proportional to 81,752 and 126,636 is: 196,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,752 : 126,636 = 126,636 : x
  2. Step 2: Convert to fraction form
    81,752/126,636 = 126,636/x
  3. Step 3: Cross multiply
    81,752x = 126,636 × 126,636
  4. Step 4: Simplify right side
    81,752x = 16,036,676,496
  5. Step 5: Solve for x
    x = 16,036,676,496/81,752
  6. Step 6: Final answer
    x = 196,162.50

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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.