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Finding the Third Proportional to 270,507.50 and 422,138

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Solution

The third proportional to 270,507.50 and 422,138 is: 658,763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,507.50 : 422,138 = 422,138 : x
  2. Step 2: Convert to fraction form
    270,507.50/422,138 = 422,138/x
  3. Step 3: Cross multiply
    270,507.50x = 422,138 × 422,138
  4. Step 4: Simplify right side
    270,507.50x = 178,200,491,044
  5. Step 5: Solve for x
    x = 178,200,491,044/270,507.50
  6. Step 6: Final answer
    x = 658,763.59

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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.