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Finding the Third Proportional to 81,021 and 126,808.50

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Solution

The third proportional to 81,021 and 126,808.50 is: 198,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,021 : 126,808.50 = 126,808.50 : x
  2. Step 2: Convert to fraction form
    81,021/126,808.50 = 126,808.50/x
  3. Step 3: Cross multiply
    81,021x = 126,808.50 × 126,808.50
  4. Step 4: Simplify right side
    81,021x = 16,080,395,672.25
  5. Step 5: Solve for x
    x = 16,080,395,672.25/81,021
  6. Step 6: Final answer
    x = 198,471.95

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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.