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Finding the Third Proportional to 292,100 and 638,266

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Solution

The third proportional to 292,100 and 638,266 is: 1,394,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,100 : 638,266 = 638,266 : x
  2. Step 2: Convert to fraction form
    292,100/638,266 = 638,266/x
  3. Step 3: Cross multiply
    292,100x = 638,266 × 638,266
  4. Step 4: Simplify right side
    292,100x = 407,383,486,756
  5. Step 5: Solve for x
    x = 407,383,486,756/292,100
  6. Step 6: Final answer
    x = 1,394,671.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.