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Finding the Third Proportional to 813.75 and 1,100.63

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Solution

The third proportional to 813.75 and 1,100.63 is: 1,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.75 : 1,100.63 = 1,100.63 : x
  2. Step 2: Convert to fraction form
    813.75/1,100.63 = 1,100.63/x
  3. Step 3: Cross multiply
    813.75x = 1,100.63 × 1,100.63
  4. Step 4: Simplify right side
    813.75x = 1,211,375.39
  5. Step 5: Solve for x
    x = 1,211,375.39/813.75
  6. Step 6: Final answer
    x = 1,488.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.