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Finding the Third Proportional to 82,773 and 126,828

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Solution

The third proportional to 82,773 and 126,828 is: 194,330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,773 : 126,828 = 126,828 : x
  2. Step 2: Convert to fraction form
    82,773/126,828 = 126,828/x
  3. Step 3: Cross multiply
    82,773x = 126,828 × 126,828
  4. Step 4: Simplify right side
    82,773x = 16,085,341,584
  5. Step 5: Solve for x
    x = 16,085,341,584/82,773
  6. Step 6: Final answer
    x = 194,330.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.