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Finding the Third Proportional to 80,540 and 163,240

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Solution

The third proportional to 80,540 and 163,240 is: 330,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,540 : 163,240 = 163,240 : x
  2. Step 2: Convert to fraction form
    80,540/163,240 = 163,240/x
  3. Step 3: Cross multiply
    80,540x = 163,240 × 163,240
  4. Step 4: Simplify right side
    80,540x = 26,647,297,600
  5. Step 5: Solve for x
    x = 26,647,297,600/80,540
  6. Step 6: Final answer
    x = 330,857.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.