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Finding the Third Proportional to 204,976,388 and 447,775,240

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Solution

The third proportional to 204,976,388 and 447,775,240 is: 978,174,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,976,388 : 447,775,240 = 447,775,240 : x
  2. Step 2: Convert to fraction form
    204,976,388/447,775,240 = 447,775,240/x
  3. Step 3: Cross multiply
    204,976,388x = 447,775,240 × 447,775,240
  4. Step 4: Simplify right side
    204,976,388x = 200,502,665,557,057,600
  5. Step 5: Solve for x
    x = 200,502,665,557,057,600/204,976,388
  6. Step 6: Final answer
    x = 978,174,449.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.