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Finding the Third Proportional to 204,176,276 and 313,833,561

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Solution

The third proportional to 204,176,276 and 313,833,561 is: 482,384,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,176,276 : 313,833,561 = 313,833,561 : x
  2. Step 2: Convert to fraction form
    204,176,276/313,833,561 = 313,833,561/x
  3. Step 3: Cross multiply
    204,176,276x = 313,833,561 × 313,833,561
  4. Step 4: Simplify right side
    204,176,276x = 98,491,504,009,940,720
  5. Step 5: Solve for x
    x = 98,491,504,009,940,720/204,176,276
  6. Step 6: Final answer
    x = 482,384,662.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.