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Finding the Third Proportional to 80,712 and 159,356

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Solution

The third proportional to 80,712 and 159,356 is: 314,628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,712 : 159,356 = 159,356 : x
  2. Step 2: Convert to fraction form
    80,712/159,356 = 159,356/x
  3. Step 3: Cross multiply
    80,712x = 159,356 × 159,356
  4. Step 4: Simplify right side
    80,712x = 25,394,334,736
  5. Step 5: Solve for x
    x = 25,394,334,736/80,712
  6. Step 6: Final answer
    x = 314,628.99

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.