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Finding the Third Proportional to 1,140.19 and 2,438.44

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Solution

The third proportional to 1,140.19 and 2,438.44 is: 5,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.19 : 2,438.44 = 2,438.44 : x
  2. Step 2: Convert to fraction form
    1,140.19/2,438.44 = 2,438.44/x
  3. Step 3: Cross multiply
    1,140.19x = 2,438.44 × 2,438.44
  4. Step 4: Simplify right side
    1,140.19x = 5,945,977.44
  5. Step 5: Solve for x
    x = 5,945,977.44/1,140.19
  6. Step 6: Final answer
    x = 5,214.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.