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Finding the Third Proportional to 2,808.42 and 3,415.92

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Solution

The third proportional to 2,808.42 and 3,415.92 is: 4,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.42 : 3,415.92 = 3,415.92 : x
  2. Step 2: Convert to fraction form
    2,808.42/3,415.92 = 3,415.92/x
  3. Step 3: Cross multiply
    2,808.42x = 3,415.92 × 3,415.92
  4. Step 4: Simplify right side
    2,808.42x = 11,668,522.26
  5. Step 5: Solve for x
    x = 11,668,522.26/2,808.42
  6. Step 6: Final answer
    x = 4,154.83

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.