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Finding the Third Proportional to 122,930 and 250,372

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Solution

The third proportional to 122,930 and 250,372 is: 509,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,930 : 250,372 = 250,372 : x
  2. Step 2: Convert to fraction form
    122,930/250,372 = 250,372/x
  3. Step 3: Cross multiply
    122,930x = 250,372 × 250,372
  4. Step 4: Simplify right side
    122,930x = 62,686,138,384
  5. Step 5: Solve for x
    x = 62,686,138,384/122,930
  6. Step 6: Final answer
    x = 509,933.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.