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Finding the Third Proportional to 79,774 and 172,756

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Solution

The third proportional to 79,774 and 172,756 is: 374,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,774 : 172,756 = 172,756 : x
  2. Step 2: Convert to fraction form
    79,774/172,756 = 172,756/x
  3. Step 3: Cross multiply
    79,774x = 172,756 × 172,756
  4. Step 4: Simplify right side
    79,774x = 29,844,635,536
  5. Step 5: Solve for x
    x = 29,844,635,536/79,774
  6. Step 6: Final answer
    x = 374,114.82

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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.