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Finding the Third Proportional to 427.69 and 1,023.75

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Solution

The third proportional to 427.69 and 1,023.75 is: 2,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.69 : 1,023.75 = 1,023.75 : x
  2. Step 2: Convert to fraction form
    427.69/1,023.75 = 1,023.75/x
  3. Step 3: Cross multiply
    427.69x = 1,023.75 × 1,023.75
  4. Step 4: Simplify right side
    427.69x = 1,048,064.06
  5. Step 5: Solve for x
    x = 1,048,064.06/427.69
  6. Step 6: Final answer
    x = 2,450.54

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.