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Finding the Third Proportional to 2,786 and 5,242

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Solution

The third proportional to 2,786 and 5,242 is: 9,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786 : 5,242 = 5,242 : x
  2. Step 2: Convert to fraction form
    2,786/5,242 = 5,242/x
  3. Step 3: Cross multiply
    2,786x = 5,242 × 5,242
  4. Step 4: Simplify right side
    2,786x = 27,478,564
  5. Step 5: Solve for x
    x = 27,478,564/2,786
  6. Step 6: Final answer
    x = 9,863.09

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.