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Finding the Third Proportional to 220,190 and 306,381

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Solution

The third proportional to 220,190 and 306,381 is: 426,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,190 : 306,381 = 306,381 : x
  2. Step 2: Convert to fraction form
    220,190/306,381 = 306,381/x
  3. Step 3: Cross multiply
    220,190x = 306,381 × 306,381
  4. Step 4: Simplify right side
    220,190x = 93,869,317,161
  5. Step 5: Solve for x
    x = 93,869,317,161/220,190
  6. Step 6: Final answer
    x = 426,310.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.