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Finding the Third Proportional to 79,503 and 172,809

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Solution

The third proportional to 79,503 and 172,809 is: 375,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,503 : 172,809 = 172,809 : x
  2. Step 2: Convert to fraction form
    79,503/172,809 = 172,809/x
  3. Step 3: Cross multiply
    79,503x = 172,809 × 172,809
  4. Step 4: Simplify right side
    79,503x = 29,862,950,481
  5. Step 5: Solve for x
    x = 29,862,950,481/79,503
  6. Step 6: Final answer
    x = 375,620.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.