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Finding the Third Proportional to 220,901 and 480,906

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Solution

The third proportional to 220,901 and 480,906 is: 1,046,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,901 : 480,906 = 480,906 : x
  2. Step 2: Convert to fraction form
    220,901/480,906 = 480,906/x
  3. Step 3: Cross multiply
    220,901x = 480,906 × 480,906
  4. Step 4: Simplify right side
    220,901x = 231,270,580,836
  5. Step 5: Solve for x
    x = 231,270,580,836/220,901
  6. Step 6: Final answer
    x = 1,046,942.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.