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Finding the Third Proportional to 81,018 and 126,804

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Solution

The third proportional to 81,018 and 126,804 is: 198,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,018 : 126,804 = 126,804 : x
  2. Step 2: Convert to fraction form
    81,018/126,804 = 126,804/x
  3. Step 3: Cross multiply
    81,018x = 126,804 × 126,804
  4. Step 4: Simplify right side
    81,018x = 16,079,254,416
  5. Step 5: Solve for x
    x = 16,079,254,416/81,018
  6. Step 6: Final answer
    x = 198,465.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.