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Finding the Third Proportional to 813.75 and 1,205.44

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Solution

The third proportional to 813.75 and 1,205.44 is: 1,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.75 : 1,205.44 = 1,205.44 : x
  2. Step 2: Convert to fraction form
    813.75/1,205.44 = 1,205.44/x
  3. Step 3: Cross multiply
    813.75x = 1,205.44 × 1,205.44
  4. Step 4: Simplify right side
    813.75x = 1,453,079.57
  5. Step 5: Solve for x
    x = 1,453,079.57/813.75
  6. Step 6: Final answer
    x = 1,785.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.