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Finding the Third Proportional to 80,421 and 176,796

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Solution

The third proportional to 80,421 and 176,796 is: 388,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,421 : 176,796 = 176,796 : x
  2. Step 2: Convert to fraction form
    80,421/176,796 = 176,796/x
  3. Step 3: Cross multiply
    80,421x = 176,796 × 176,796
  4. Step 4: Simplify right side
    80,421x = 31,256,825,616
  5. Step 5: Solve for x
    x = 31,256,825,616/80,421
  6. Step 6: Final answer
    x = 388,664.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.