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Finding the Third Proportional to 80,706 and 133,379

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Solution

The third proportional to 80,706 and 133,379 is: 220,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,706 : 133,379 = 133,379 : x
  2. Step 2: Convert to fraction form
    80,706/133,379 = 133,379/x
  3. Step 3: Cross multiply
    80,706x = 133,379 × 133,379
  4. Step 4: Simplify right side
    80,706x = 17,789,957,641
  5. Step 5: Solve for x
    x = 17,789,957,641/80,706
  6. Step 6: Final answer
    x = 220,429.18

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.