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Finding the Third Proportional to 78,823 and 172,975

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Solution

The third proportional to 78,823 and 172,975 is: 379,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,823 : 172,975 = 172,975 : x
  2. Step 2: Convert to fraction form
    78,823/172,975 = 172,975/x
  3. Step 3: Cross multiply
    78,823x = 172,975 × 172,975
  4. Step 4: Simplify right side
    78,823x = 29,920,350,625
  5. Step 5: Solve for x
    x = 29,920,350,625/78,823
  6. Step 6: Final answer
    x = 379,589.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.