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Finding the Third Proportional to 122,511 and 250,206

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Solution

The third proportional to 122,511 and 250,206 is: 510,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,511 : 250,206 = 250,206 : x
  2. Step 2: Convert to fraction form
    122,511/250,206 = 250,206/x
  3. Step 3: Cross multiply
    122,511x = 250,206 × 250,206
  4. Step 4: Simplify right side
    122,511x = 62,603,042,436
  5. Step 5: Solve for x
    x = 62,603,042,436/122,511
  6. Step 6: Final answer
    x = 510,999.36

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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.