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Finding the Third Proportional to 1,270.69 and 1,738.97

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Solution

The third proportional to 1,270.69 and 1,738.97 is: 2,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.69 : 1,738.97 = 1,738.97 : x
  2. Step 2: Convert to fraction form
    1,270.69/1,738.97 = 1,738.97/x
  3. Step 3: Cross multiply
    1,270.69x = 1,738.97 × 1,738.97
  4. Step 4: Simplify right side
    1,270.69x = 3,024,012.31
  5. Step 5: Solve for x
    x = 3,024,012.31/1,270.69
  6. Step 6: Final answer
    x = 2,379.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.