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Finding the Third Proportional to 1,311.82 and 2,853.35

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Solution

The third proportional to 1,311.82 and 2,853.35 is: 6,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.82 : 2,853.35 = 2,853.35 : x
  2. Step 2: Convert to fraction form
    1,311.82/2,853.35 = 2,853.35/x
  3. Step 3: Cross multiply
    1,311.82x = 2,853.35 × 2,853.35
  4. Step 4: Simplify right side
    1,311.82x = 8,141,615.14
  5. Step 5: Solve for x
    x = 8,141,615.14/1,311.82
  6. Step 6: Final answer
    x = 6,206.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.