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Finding the Third Proportional to 78,772.50 and 172,857

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Solution

The third proportional to 78,772.50 and 172,857 is: 379,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,772.50 : 172,857 = 172,857 : x
  2. Step 2: Convert to fraction form
    78,772.50/172,857 = 172,857/x
  3. Step 3: Cross multiply
    78,772.50x = 172,857 × 172,857
  4. Step 4: Simplify right side
    78,772.50x = 29,879,542,449
  5. Step 5: Solve for x
    x = 29,879,542,449/78,772.50
  6. Step 6: Final answer
    x = 379,314.39

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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.