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Finding the Third Proportional to 1,249.80 and 1,942.10

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Solution

The third proportional to 1,249.80 and 1,942.10 is: 3,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.80 : 1,942.10 = 1,942.10 : x
  2. Step 2: Convert to fraction form
    1,249.80/1,942.10 = 1,942.10/x
  3. Step 3: Cross multiply
    1,249.80x = 1,942.10 × 1,942.10
  4. Step 4: Simplify right side
    1,249.80x = 3,771,758.48
  5. Step 5: Solve for x
    x = 3,771,758.48/1,249.80
  6. Step 6: Final answer
    x = 3,017.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.