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Finding the Third Proportional to 270,505.83 and 422,135.61

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Solution

The third proportional to 270,505.83 and 422,135.61 is: 658,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,505.83 : 422,135.61 = 422,135.61 : x
  2. Step 2: Convert to fraction form
    270,505.83/422,135.61 = 422,135.61/x
  3. Step 3: Cross multiply
    270,505.83x = 422,135.61 × 422,135.61
  4. Step 4: Simplify right side
    270,505.83x = 178,198,476,000.34
  5. Step 5: Solve for x
    x = 178,198,476,000.34/270,505.83
  6. Step 6: Final answer
    x = 658,760.21

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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.