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Finding the Third Proportional to 80,772 and 165,572

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Solution

The third proportional to 80,772 and 165,572 is: 339,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,772 : 165,572 = 165,572 : x
  2. Step 2: Convert to fraction form
    80,772/165,572 = 165,572/x
  3. Step 3: Cross multiply
    80,772x = 165,572 × 165,572
  4. Step 4: Simplify right side
    80,772x = 27,414,087,184
  5. Step 5: Solve for x
    x = 27,414,087,184/80,772
  6. Step 6: Final answer
    x = 339,400.87

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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.