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Finding the Third Proportional to 80,856 and 165,712

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Solution

The third proportional to 80,856 and 165,712 is: 339,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,856 : 165,712 = 165,712 : x
  2. Step 2: Convert to fraction form
    80,856/165,712 = 165,712/x
  3. Step 3: Cross multiply
    80,856x = 165,712 × 165,712
  4. Step 4: Simplify right side
    80,856x = 27,460,466,944
  5. Step 5: Solve for x
    x = 27,460,466,944/80,856
  6. Step 6: Final answer
    x = 339,621.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.