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Finding the Third Proportional to 260,398,476.75 and 396,702,456.56

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Solution

The third proportional to 260,398,476.75 and 396,702,456.56 is: 604,353,915.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,398,476.75 : 396,702,456.56 = 396,702,456.56 : x
  2. Step 2: Convert to fraction form
    260,398,476.75/396,702,456.56 = 396,702,456.56/x
  3. Step 3: Cross multiply
    260,398,476.75x = 396,702,456.56 × 396,702,456.56
  4. Step 4: Simplify right side
    260,398,476.75x = 157,372,839,042,722,208
  5. Step 5: Solve for x
    x = 157,372,839,042,722,208/260,398,476.75
  6. Step 6: Final answer
    x = 604,353,915.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.