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Finding the Third Proportional to 1,871.44 and 4,074.75

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Solution

The third proportional to 1,871.44 and 4,074.75 is: 8,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.44 : 4,074.75 = 4,074.75 : x
  2. Step 2: Convert to fraction form
    1,871.44/4,074.75 = 4,074.75/x
  3. Step 3: Cross multiply
    1,871.44x = 4,074.75 × 4,074.75
  4. Step 4: Simplify right side
    1,871.44x = 16,603,587.56
  5. Step 5: Solve for x
    x = 16,603,587.56/1,871.44
  6. Step 6: Final answer
    x = 8,872.10

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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.