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Finding the Third Proportional to 1,307 and 1,879

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Solution

The third proportional to 1,307 and 1,879 is: 2,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307 : 1,879 = 1,879 : x
  2. Step 2: Convert to fraction form
    1,307/1,879 = 1,879/x
  3. Step 3: Cross multiply
    1,307x = 1,879 × 1,879
  4. Step 4: Simplify right side
    1,307x = 3,530,641
  5. Step 5: Solve for x
    x = 3,530,641/1,307
  6. Step 6: Final answer
    x = 2,701.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.