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Finding the Third Proportional to 172,388 and 365,647

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Solution

The third proportional to 172,388 and 365,647 is: 775,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,388 : 365,647 = 365,647 : x
  2. Step 2: Convert to fraction form
    172,388/365,647 = 365,647/x
  3. Step 3: Cross multiply
    172,388x = 365,647 × 365,647
  4. Step 4: Simplify right side
    172,388x = 133,697,728,609
  5. Step 5: Solve for x
    x = 133,697,728,609/172,388
  6. Step 6: Final answer
    x = 775,562.85

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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.