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Finding the Third Proportional to 891.61 and 1,372.20

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Solution

The third proportional to 891.61 and 1,372.20 is: 2,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.61 : 1,372.20 = 1,372.20 : x
  2. Step 2: Convert to fraction form
    891.61/1,372.20 = 1,372.20/x
  3. Step 3: Cross multiply
    891.61x = 1,372.20 × 1,372.20
  4. Step 4: Simplify right side
    891.61x = 1,882,919.98
  5. Step 5: Solve for x
    x = 1,882,919.98/891.61
  6. Step 6: Final answer
    x = 2,111.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.