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Finding the Third Proportional to 81,724 and 126,228

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Solution

The third proportional to 81,724 and 126,228 is: 194,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,724 : 126,228 = 126,228 : x
  2. Step 2: Convert to fraction form
    81,724/126,228 = 126,228/x
  3. Step 3: Cross multiply
    81,724x = 126,228 × 126,228
  4. Step 4: Simplify right side
    81,724x = 15,933,507,984
  5. Step 5: Solve for x
    x = 15,933,507,984/81,724
  6. Step 6: Final answer
    x = 194,967.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.