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Finding the Third Proportional to 80,057 and 172,485

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Solution

The third proportional to 80,057 and 172,485 is: 371,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,057 : 172,485 = 172,485 : x
  2. Step 2: Convert to fraction form
    80,057/172,485 = 172,485/x
  3. Step 3: Cross multiply
    80,057x = 172,485 × 172,485
  4. Step 4: Simplify right side
    80,057x = 29,751,075,225
  5. Step 5: Solve for x
    x = 29,751,075,225/80,057
  6. Step 6: Final answer
    x = 371,623.66

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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.