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Finding the Third Proportional to 100,260 and 222,936

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Solution

The third proportional to 100,260 and 222,936 is: 495,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,260 : 222,936 = 222,936 : x
  2. Step 2: Convert to fraction form
    100,260/222,936 = 222,936/x
  3. Step 3: Cross multiply
    100,260x = 222,936 × 222,936
  4. Step 4: Simplify right side
    100,260x = 49,700,460,096
  5. Step 5: Solve for x
    x = 49,700,460,096/100,260
  6. Step 6: Final answer
    x = 495,715.74

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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.