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Finding the Third Proportional to 100,266 and 222,946

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Solution

The third proportional to 100,266 and 222,946 is: 495,730.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,266 : 222,946 = 222,946 : x
  2. Step 2: Convert to fraction form
    100,266/222,946 = 222,946/x
  3. Step 3: Cross multiply
    100,266x = 222,946 × 222,946
  4. Step 4: Simplify right side
    100,266x = 49,704,918,916
  5. Step 5: Solve for x
    x = 49,704,918,916/100,266
  6. Step 6: Final answer
    x = 495,730.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.