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Finding the Third Proportional to 260,869 and 414,976

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Solution

The third proportional to 260,869 and 414,976 is: 660,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,869 : 414,976 = 414,976 : x
  2. Step 2: Convert to fraction form
    260,869/414,976 = 414,976/x
  3. Step 3: Cross multiply
    260,869x = 414,976 × 414,976
  4. Step 4: Simplify right side
    260,869x = 172,205,080,576
  5. Step 5: Solve for x
    x = 172,205,080,576/260,869
  6. Step 6: Final answer
    x = 660,120.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.