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Finding the Third Proportional to 80,078 and 165,772

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Solution

The third proportional to 80,078 and 165,772 is: 343,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,078 : 165,772 = 165,772 : x
  2. Step 2: Convert to fraction form
    80,078/165,772 = 165,772/x
  3. Step 3: Cross multiply
    80,078x = 165,772 × 165,772
  4. Step 4: Simplify right side
    80,078x = 27,480,355,984
  5. Step 5: Solve for x
    x = 27,480,355,984/80,078
  6. Step 6: Final answer
    x = 343,169.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.