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Finding the Third Proportional to 78,520.50 and 172,593

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Solution

The third proportional to 78,520.50 and 172,593 is: 379,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,520.50 : 172,593 = 172,593 : x
  2. Step 2: Convert to fraction form
    78,520.50/172,593 = 172,593/x
  3. Step 3: Cross multiply
    78,520.50x = 172,593 × 172,593
  4. Step 4: Simplify right side
    78,520.50x = 29,788,343,649
  5. Step 5: Solve for x
    x = 29,788,343,649/78,520.50
  6. Step 6: Final answer
    x = 379,370.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.