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Finding the Third Proportional to 251,858 and 380,211

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Solution

The third proportional to 251,858 and 380,211 is: 573,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,858 : 380,211 = 380,211 : x
  2. Step 2: Convert to fraction form
    251,858/380,211 = 380,211/x
  3. Step 3: Cross multiply
    251,858x = 380,211 × 380,211
  4. Step 4: Simplify right side
    251,858x = 144,560,404,521
  5. Step 5: Solve for x
    x = 144,560,404,521/251,858
  6. Step 6: Final answer
    x = 573,975.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.