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Finding the Third Proportional to 80,021 and 172,444

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Solution

The third proportional to 80,021 and 172,444 is: 371,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,021 : 172,444 = 172,444 : x
  2. Step 2: Convert to fraction form
    80,021/172,444 = 172,444/x
  3. Step 3: Cross multiply
    80,021x = 172,444 × 172,444
  4. Step 4: Simplify right side
    80,021x = 29,736,933,136
  5. Step 5: Solve for x
    x = 29,736,933,136/80,021
  6. Step 6: Final answer
    x = 371,614.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.