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Finding the Third Proportional to 172,240 and 369,393

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Solution

The third proportional to 172,240 and 369,393 is: 792,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,240 : 369,393 = 369,393 : x
  2. Step 2: Convert to fraction form
    172,240/369,393 = 369,393/x
  3. Step 3: Cross multiply
    172,240x = 369,393 × 369,393
  4. Step 4: Simplify right side
    172,240x = 136,451,188,449
  5. Step 5: Solve for x
    x = 136,451,188,449/172,240
  6. Step 6: Final answer
    x = 792,215.45

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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.