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Finding the Third Proportional to 172,647 and 369,279

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Solution

The third proportional to 172,647 and 369,279 is: 789,860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,647 : 369,279 = 369,279 : x
  2. Step 2: Convert to fraction form
    172,647/369,279 = 369,279/x
  3. Step 3: Cross multiply
    172,647x = 369,279 × 369,279
  4. Step 4: Simplify right side
    172,647x = 136,366,979,841
  5. Step 5: Solve for x
    x = 136,366,979,841/172,647
  6. Step 6: Final answer
    x = 789,860.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.