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Finding the Third Proportional to 811.88 and 1,101.19

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Solution

The third proportional to 811.88 and 1,101.19 is: 1,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.88 : 1,101.19 = 1,101.19 : x
  2. Step 2: Convert to fraction form
    811.88/1,101.19 = 1,101.19/x
  3. Step 3: Cross multiply
    811.88x = 1,101.19 × 1,101.19
  4. Step 4: Simplify right side
    811.88x = 1,212,613.91
  5. Step 5: Solve for x
    x = 1,212,613.91/811.88
  6. Step 6: Final answer
    x = 1,493.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.