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Finding the Third Proportional to 193,874,048 and 414,988,288

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Solution

The third proportional to 193,874,048 and 414,988,288 is: 888,284,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,874,048 : 414,988,288 = 414,988,288 : x
  2. Step 2: Convert to fraction form
    193,874,048/414,988,288 = 414,988,288/x
  3. Step 3: Cross multiply
    193,874,048x = 414,988,288 × 414,988,288
  4. Step 4: Simplify right side
    193,874,048x = 172,215,279,177,170,944
  5. Step 5: Solve for x
    x = 172,215,279,177,170,944/193,874,048
  6. Step 6: Final answer
    x = 888,284,331.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.