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Finding the Third Proportional to 222,703 and 495,085

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Solution

The third proportional to 222,703 and 495,085 is: 1,100,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,703 : 495,085 = 495,085 : x
  2. Step 2: Convert to fraction form
    222,703/495,085 = 495,085/x
  3. Step 3: Cross multiply
    222,703x = 495,085 × 495,085
  4. Step 4: Simplify right side
    222,703x = 245,109,157,225
  5. Step 5: Solve for x
    x = 245,109,157,225/222,703
  6. Step 6: Final answer
    x = 1,100,610.04

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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.