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Finding the Third Proportional to 204,197,193 and 308,726,802

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Solution

The third proportional to 204,197,193 and 308,726,802 is: 466,765,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,197,193 : 308,726,802 = 308,726,802 : x
  2. Step 2: Convert to fraction form
    204,197,193/308,726,802 = 308,726,802/x
  3. Step 3: Cross multiply
    204,197,193x = 308,726,802 × 308,726,802
  4. Step 4: Simplify right side
    204,197,193x = 95,312,238,273,147,200
  5. Step 5: Solve for x
    x = 95,312,238,273,147,200/204,197,193
  6. Step 6: Final answer
    x = 466,765,663.49

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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.