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Finding the Third Proportional to 122,860 and 250,904

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Solution

The third proportional to 122,860 and 250,904 is: 512,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,860 : 250,904 = 250,904 : x
  2. Step 2: Convert to fraction form
    122,860/250,904 = 250,904/x
  3. Step 3: Cross multiply
    122,860x = 250,904 × 250,904
  4. Step 4: Simplify right side
    122,860x = 62,952,817,216
  5. Step 5: Solve for x
    x = 62,952,817,216/122,860
  6. Step 6: Final answer
    x = 512,394.74

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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.