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Finding the Third Proportional to 273,162 and 428,512

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Solution

The third proportional to 273,162 and 428,512 is: 672,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,162 : 428,512 = 428,512 : x
  2. Step 2: Convert to fraction form
    273,162/428,512 = 428,512/x
  3. Step 3: Cross multiply
    273,162x = 428,512 × 428,512
  4. Step 4: Simplify right side
    273,162x = 183,622,534,144
  5. Step 5: Solve for x
    x = 183,622,534,144/273,162
  6. Step 6: Final answer
    x = 672,211.12

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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.