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Finding the Third Proportional to 155,926 and 251,115

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Solution

The third proportional to 155,926 and 251,115 is: 404,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,926 : 251,115 = 251,115 : x
  2. Step 2: Convert to fraction form
    155,926/251,115 = 251,115/x
  3. Step 3: Cross multiply
    155,926x = 251,115 × 251,115
  4. Step 4: Simplify right side
    155,926x = 63,058,743,225
  5. Step 5: Solve for x
    x = 63,058,743,225/155,926
  6. Step 6: Final answer
    x = 404,414.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.