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Finding the Third Proportional to 2,797 and 3,688

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Solution

The third proportional to 2,797 and 3,688 is: 4,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797 : 3,688 = 3,688 : x
  2. Step 2: Convert to fraction form
    2,797/3,688 = 3,688/x
  3. Step 3: Cross multiply
    2,797x = 3,688 × 3,688
  4. Step 4: Simplify right side
    2,797x = 13,601,344
  5. Step 5: Solve for x
    x = 13,601,344/2,797
  6. Step 6: Final answer
    x = 4,862.83

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.