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Finding the Third Proportional to 1,782 and 2,697

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Solution

The third proportional to 1,782 and 2,697 is: 4,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782 : 2,697 = 2,697 : x
  2. Step 2: Convert to fraction form
    1,782/2,697 = 2,697/x
  3. Step 3: Cross multiply
    1,782x = 2,697 × 2,697
  4. Step 4: Simplify right side
    1,782x = 7,273,809
  5. Step 5: Solve for x
    x = 7,273,809/1,782
  6. Step 6: Final answer
    x = 4,081.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.