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Finding the Third Proportional to 220,866 and 485,121

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Solution

The third proportional to 220,866 and 485,121 is: 1,065,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,866 : 485,121 = 485,121 : x
  2. Step 2: Convert to fraction form
    220,866/485,121 = 485,121/x
  3. Step 3: Cross multiply
    220,866x = 485,121 × 485,121
  4. Step 4: Simplify right side
    220,866x = 235,342,384,641
  5. Step 5: Solve for x
    x = 235,342,384,641/220,866
  6. Step 6: Final answer
    x = 1,065,543.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.