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Finding the Third Proportional to 2,596 and 3,707

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Solution

The third proportional to 2,596 and 3,707 is: 5,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596 : 3,707 = 3,707 : x
  2. Step 2: Convert to fraction form
    2,596/3,707 = 3,707/x
  3. Step 3: Cross multiply
    2,596x = 3,707 × 3,707
  4. Step 4: Simplify right side
    2,596x = 13,741,849
  5. Step 5: Solve for x
    x = 13,741,849/2,596
  6. Step 6: Final answer
    x = 5,293.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.