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Finding the Third Proportional to 1,381.11 and 1,941.15

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Solution

The third proportional to 1,381.11 and 1,941.15 is: 2,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.11 : 1,941.15 = 1,941.15 : x
  2. Step 2: Convert to fraction form
    1,381.11/1,941.15 = 1,941.15/x
  3. Step 3: Cross multiply
    1,381.11x = 1,941.15 × 1,941.15
  4. Step 4: Simplify right side
    1,381.11x = 3,768,072.42
  5. Step 5: Solve for x
    x = 3,768,072.42/1,381.11
  6. Step 6: Final answer
    x = 2,728.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.