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Finding the Third Proportional to 227,741,193,220 and 474,332,386,472

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Solution

The third proportional to 227,741,193,220 and 474,332,386,472 is: 987,924,976,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,741,193,220 : 474,332,386,472 = 474,332,386,472 : x
  2. Step 2: Convert to fraction form
    227,741,193,220/474,332,386,472 = 474,332,386,472/x
  3. Step 3: Cross multiply
    227,741,193,220x = 474,332,386,472 × 474,332,386,472
  4. Step 4: Simplify right side
    227,741,193,220x = 224,991,212,856,222,760,828,928
  5. Step 5: Solve for x
    x = 224,991,212,856,222,760,828,928/227,741,193,220
  6. Step 6: Final answer
    x = 987,924,976,044.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.