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Finding the Third Proportional to 172,986.75 and 380,025

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Solution

The third proportional to 172,986.75 and 380,025 is: 834,855.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,986.75 : 380,025 = 380,025 : x
  2. Step 2: Convert to fraction form
    172,986.75/380,025 = 380,025/x
  3. Step 3: Cross multiply
    172,986.75x = 380,025 × 380,025
  4. Step 4: Simplify right side
    172,986.75x = 144,419,000,625
  5. Step 5: Solve for x
    x = 144,419,000,625/172,986.75
  6. Step 6: Final answer
    x = 834,855.85

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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.