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Finding the Third Proportional to 1,311.19 and 2,057.06

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Solution

The third proportional to 1,311.19 and 2,057.06 is: 3,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.19 : 2,057.06 = 2,057.06 : x
  2. Step 2: Convert to fraction form
    1,311.19/2,057.06 = 2,057.06/x
  3. Step 3: Cross multiply
    1,311.19x = 2,057.06 × 2,057.06
  4. Step 4: Simplify right side
    1,311.19x = 4,231,506.13
  5. Step 5: Solve for x
    x = 4,231,506.13/1,311.19
  6. Step 6: Final answer
    x = 3,227.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.