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Finding the Third Proportional to 2,085 and 4,278

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Solution

The third proportional to 2,085 and 4,278 is: 8,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085 : 4,278 = 4,278 : x
  2. Step 2: Convert to fraction form
    2,085/4,278 = 4,278/x
  3. Step 3: Cross multiply
    2,085x = 4,278 × 4,278
  4. Step 4: Simplify right side
    2,085x = 18,301,284
  5. Step 5: Solve for x
    x = 18,301,284/2,085
  6. Step 6: Final answer
    x = 8,777.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.