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Finding the Third Proportional to 891.84 and 1,919.53

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Solution

The third proportional to 891.84 and 1,919.53 is: 4,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.84 : 1,919.53 = 1,919.53 : x
  2. Step 2: Convert to fraction form
    891.84/1,919.53 = 1,919.53/x
  3. Step 3: Cross multiply
    891.84x = 1,919.53 × 1,919.53
  4. Step 4: Simplify right side
    891.84x = 3,684,600.22
  5. Step 5: Solve for x
    x = 3,684,600.22/891.84
  6. Step 6: Final answer
    x = 4,131.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.