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Finding the Third Proportional to 2,780 and 4,086

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Solution

The third proportional to 2,780 and 4,086 is: 6,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780 : 4,086 = 4,086 : x
  2. Step 2: Convert to fraction form
    2,780/4,086 = 4,086/x
  3. Step 3: Cross multiply
    2,780x = 4,086 × 4,086
  4. Step 4: Simplify right side
    2,780x = 16,695,396
  5. Step 5: Solve for x
    x = 16,695,396/2,780
  6. Step 6: Final answer
    x = 6,005.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.