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Finding the Third Proportional to 80,476 and 171,628

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Solution

The third proportional to 80,476 and 171,628 is: 366,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,476 : 171,628 = 171,628 : x
  2. Step 2: Convert to fraction form
    80,476/171,628 = 171,628/x
  3. Step 3: Cross multiply
    80,476x = 171,628 × 171,628
  4. Step 4: Simplify right side
    80,476x = 29,456,170,384
  5. Step 5: Solve for x
    x = 29,456,170,384/80,476
  6. Step 6: Final answer
    x = 366,024.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.