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Finding the Third Proportional to 80,976 and 170,754

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Solution

The third proportional to 80,976 and 170,754 is: 360,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,976 : 170,754 = 170,754 : x
  2. Step 2: Convert to fraction form
    80,976/170,754 = 170,754/x
  3. Step 3: Cross multiply
    80,976x = 170,754 × 170,754
  4. Step 4: Simplify right side
    80,976x = 29,156,928,516
  5. Step 5: Solve for x
    x = 29,156,928,516/80,976
  6. Step 6: Final answer
    x = 360,068.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.