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Finding the Third Proportional to 220,904 and 480,912

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Solution

The third proportional to 220,904 and 480,912 is: 1,046,954.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,904 : 480,912 = 480,912 : x
  2. Step 2: Convert to fraction form
    220,904/480,912 = 480,912/x
  3. Step 3: Cross multiply
    220,904x = 480,912 × 480,912
  4. Step 4: Simplify right side
    220,904x = 231,276,351,744
  5. Step 5: Solve for x
    x = 231,276,351,744/220,904
  6. Step 6: Final answer
    x = 1,046,954.11

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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.