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Finding the Third Proportional to 81,020 and 126,807

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Solution

The third proportional to 81,020 and 126,807 is: 198,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,020 : 126,807 = 126,807 : x
  2. Step 2: Convert to fraction form
    81,020/126,807 = 126,807/x
  3. Step 3: Cross multiply
    81,020x = 126,807 × 126,807
  4. Step 4: Simplify right side
    81,020x = 16,080,015,249
  5. Step 5: Solve for x
    x = 16,080,015,249/81,020
  6. Step 6: Final answer
    x = 198,469.70

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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.