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Finding the Third Proportional to 172,467 and 365,805

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Solution

The third proportional to 172,467 and 365,805 is: 775,877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,467 : 365,805 = 365,805 : x
  2. Step 2: Convert to fraction form
    172,467/365,805 = 365,805/x
  3. Step 3: Cross multiply
    172,467x = 365,805 × 365,805
  4. Step 4: Simplify right side
    172,467x = 133,813,298,025
  5. Step 5: Solve for x
    x = 133,813,298,025/172,467
  6. Step 6: Final answer
    x = 775,877.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.