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Finding the Third Proportional to 270,503 and 422,132

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Solution

The third proportional to 270,503 and 422,132 is: 658,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,503 : 422,132 = 422,132 : x
  2. Step 2: Convert to fraction form
    270,503/422,132 = 422,132/x
  3. Step 3: Cross multiply
    270,503x = 422,132 × 422,132
  4. Step 4: Simplify right side
    270,503x = 178,195,425,424
  5. Step 5: Solve for x
    x = 178,195,425,424/270,503
  6. Step 6: Final answer
    x = 658,755.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.