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Finding the Third Proportional to 215,515,944 and 383,162,832

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Solution

The third proportional to 215,515,944 and 383,162,832 is: 681,219,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,515,944 : 383,162,832 = 383,162,832 : x
  2. Step 2: Convert to fraction form
    215,515,944/383,162,832 = 383,162,832/x
  3. Step 3: Cross multiply
    215,515,944x = 383,162,832 × 383,162,832
  4. Step 4: Simplify right side
    215,515,944x = 146,813,755,826,260,224
  5. Step 5: Solve for x
    x = 146,813,755,826,260,224/215,515,944
  6. Step 6: Final answer
    x = 681,219,927.87

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.