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Finding the Third Proportional to 401,706 and 550,827

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Solution

The third proportional to 401,706 and 550,827 is: 755,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,706 : 550,827 = 550,827 : x
  2. Step 2: Convert to fraction form
    401,706/550,827 = 550,827/x
  3. Step 3: Cross multiply
    401,706x = 550,827 × 550,827
  4. Step 4: Simplify right side
    401,706x = 303,410,383,929
  5. Step 5: Solve for x
    x = 303,410,383,929/401,706
  6. Step 6: Final answer
    x = 755,304.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.