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Finding the Third Proportional to 854.44 and 1,340.72

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Solution

The third proportional to 854.44 and 1,340.72 is: 2,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.44 : 1,340.72 = 1,340.72 : x
  2. Step 2: Convert to fraction form
    854.44/1,340.72 = 1,340.72/x
  3. Step 3: Cross multiply
    854.44x = 1,340.72 × 1,340.72
  4. Step 4: Simplify right side
    854.44x = 1,797,526.77
  5. Step 5: Solve for x
    x = 1,797,526.77/854.44
  6. Step 6: Final answer
    x = 2,103.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.