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Finding the Third Proportional to 248,008,896 and 408,372,672

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Solution

The third proportional to 248,008,896 and 408,372,672 is: 672,428,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,008,896 : 408,372,672 = 408,372,672 : x
  2. Step 2: Convert to fraction form
    248,008,896/408,372,672 = 408,372,672/x
  3. Step 3: Cross multiply
    248,008,896x = 408,372,672 × 408,372,672
  4. Step 4: Simplify right side
    248,008,896x = 166,768,239,236,419,584
  5. Step 5: Solve for x
    x = 166,768,239,236,419,584/248,008,896
  6. Step 6: Final answer
    x = 672,428,456.91

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.