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Finding the Third Proportional to 79,956 and 172,006

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Solution

The third proportional to 79,956 and 172,006 is: 370,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,956 : 172,006 = 172,006 : x
  2. Step 2: Convert to fraction form
    79,956/172,006 = 172,006/x
  3. Step 3: Cross multiply
    79,956x = 172,006 × 172,006
  4. Step 4: Simplify right side
    79,956x = 29,586,064,036
  5. Step 5: Solve for x
    x = 29,586,064,036/79,956
  6. Step 6: Final answer
    x = 370,029.32

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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.