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Finding the Third Proportional to 79,976 and 172,755

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Solution

The third proportional to 79,976 and 172,755 is: 373,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,976 : 172,755 = 172,755 : x
  2. Step 2: Convert to fraction form
    79,976/172,755 = 172,755/x
  3. Step 3: Cross multiply
    79,976x = 172,755 × 172,755
  4. Step 4: Simplify right side
    79,976x = 29,844,290,025
  5. Step 5: Solve for x
    x = 29,844,290,025/79,976
  6. Step 6: Final answer
    x = 373,165.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.