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Finding the Third Proportional to 80,442 and 133,299

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Solution

The third proportional to 80,442 and 133,299 is: 220,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,442 : 133,299 = 133,299 : x
  2. Step 2: Convert to fraction form
    80,442/133,299 = 133,299/x
  3. Step 3: Cross multiply
    80,442x = 133,299 × 133,299
  4. Step 4: Simplify right side
    80,442x = 17,768,623,401
  5. Step 5: Solve for x
    x = 17,768,623,401/80,442
  6. Step 6: Final answer
    x = 220,887.39

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.