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Finding the Third Proportional to 367.35 and 811.11

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Solution

The third proportional to 367.35 and 811.11 is: 1,790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.35 : 811.11 = 811.11 : x
  2. Step 2: Convert to fraction form
    367.35/811.11 = 811.11/x
  3. Step 3: Cross multiply
    367.35x = 811.11 × 811.11
  4. Step 4: Simplify right side
    367.35x = 657,895.25
  5. Step 5: Solve for x
    x = 657,895.25/367.35
  6. Step 6: Final answer
    x = 1,790.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.