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Finding the Third Proportional to 251,262 and 379,512

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Solution

The third proportional to 251,262 and 379,512 is: 573,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,262 : 379,512 = 379,512 : x
  2. Step 2: Convert to fraction form
    251,262/379,512 = 379,512/x
  3. Step 3: Cross multiply
    251,262x = 379,512 × 379,512
  4. Step 4: Simplify right side
    251,262x = 144,029,358,144
  5. Step 5: Solve for x
    x = 144,029,358,144/251,262
  6. Step 6: Final answer
    x = 573,223.80

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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.