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Finding the Third Proportional to 222,946 and 485,256

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Solution

The third proportional to 222,946 and 485,256 is: 1,056,190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,946 : 485,256 = 485,256 : x
  2. Step 2: Convert to fraction form
    222,946/485,256 = 485,256/x
  3. Step 3: Cross multiply
    222,946x = 485,256 × 485,256
  4. Step 4: Simplify right side
    222,946x = 235,473,385,536
  5. Step 5: Solve for x
    x = 235,473,385,536/222,946
  6. Step 6: Final answer
    x = 1,056,190.22

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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.