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Finding the Third Proportional to 81,808 and 126,447

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Solution

The third proportional to 81,808 and 126,447 is: 195,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,808 : 126,447 = 126,447 : x
  2. Step 2: Convert to fraction form
    81,808/126,447 = 126,447/x
  3. Step 3: Cross multiply
    81,808x = 126,447 × 126,447
  4. Step 4: Simplify right side
    81,808x = 15,988,843,809
  5. Step 5: Solve for x
    x = 15,988,843,809/81,808
  6. Step 6: Final answer
    x = 195,443.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.