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Finding the Third Proportional to 273,147.75 and 428,489.44

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Solution

The third proportional to 273,147.75 and 428,489.44 is: 672,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,147.75 : 428,489.44 = 428,489.44 : x
  2. Step 2: Convert to fraction form
    273,147.75/428,489.44 = 428,489.44/x
  3. Step 3: Cross multiply
    273,147.75x = 428,489.44 × 428,489.44
  4. Step 4: Simplify right side
    273,147.75x = 183,603,198,049.07
  5. Step 5: Solve for x
    x = 183,603,198,049.07/273,147.75
  6. Step 6: Final answer
    x = 672,175.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.