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Finding the Third Proportional to 105,718 and 220,180

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Solution

The third proportional to 105,718 and 220,180 is: 458,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,718 : 220,180 = 220,180 : x
  2. Step 2: Convert to fraction form
    105,718/220,180 = 220,180/x
  3. Step 3: Cross multiply
    105,718x = 220,180 × 220,180
  4. Step 4: Simplify right side
    105,718x = 48,479,232,400
  5. Step 5: Solve for x
    x = 48,479,232,400/105,718
  6. Step 6: Final answer
    x = 458,571.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.