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Finding the Third Proportional to 80,716 and 159,370

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Solution

The third proportional to 80,716 and 159,370 is: 314,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,716 : 159,370 = 159,370 : x
  2. Step 2: Convert to fraction form
    80,716/159,370 = 159,370/x
  3. Step 3: Cross multiply
    80,716x = 159,370 × 159,370
  4. Step 4: Simplify right side
    80,716x = 25,398,796,900
  5. Step 5: Solve for x
    x = 25,398,796,900/80,716
  6. Step 6: Final answer
    x = 314,668.68

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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.