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Finding the Third Proportional to 80,401 and 169,721

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Solution

The third proportional to 80,401 and 169,721 is: 358,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,401 : 169,721 = 169,721 : x
  2. Step 2: Convert to fraction form
    80,401/169,721 = 169,721/x
  3. Step 3: Cross multiply
    80,401x = 169,721 × 169,721
  4. Step 4: Simplify right side
    80,401x = 28,805,217,841
  5. Step 5: Solve for x
    x = 28,805,217,841/80,401
  6. Step 6: Final answer
    x = 358,269.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.