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Finding the Third Proportional to 256,957,924.50 and 380,770,512.75

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Solution

The third proportional to 256,957,924.50 and 380,770,512.75 is: 564,240,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,957,924.50 : 380,770,512.75 = 380,770,512.75 : x
  2. Step 2: Convert to fraction form
    256,957,924.50/380,770,512.75 = 380,770,512.75/x
  3. Step 3: Cross multiply
    256,957,924.50x = 380,770,512.75 × 380,770,512.75
  4. Step 4: Simplify right side
    256,957,924.50x = 144,986,183,379,897,920
  5. Step 5: Solve for x
    x = 144,986,183,379,897,920/256,957,924.50
  6. Step 6: Final answer
    x = 564,240,949.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.