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Finding the Third Proportional to 81,874 and 126,430

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Solution

The third proportional to 81,874 and 126,430 is: 195,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874 : 126,430 = 126,430 : x
  2. Step 2: Convert to fraction form
    81,874/126,430 = 126,430/x
  3. Step 3: Cross multiply
    81,874x = 126,430 × 126,430
  4. Step 4: Simplify right side
    81,874x = 15,984,544,900
  5. Step 5: Solve for x
    x = 15,984,544,900/81,874
  6. Step 6: Final answer
    x = 195,233.47

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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.