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Finding the Third Proportional to 811.69 and 1,181.67

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Solution

The third proportional to 811.69 and 1,181.67 is: 1,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.69 : 1,181.67 = 1,181.67 : x
  2. Step 2: Convert to fraction form
    811.69/1,181.67 = 1,181.67/x
  3. Step 3: Cross multiply
    811.69x = 1,181.67 × 1,181.67
  4. Step 4: Simplify right side
    811.69x = 1,396,348.42
  5. Step 5: Solve for x
    x = 1,396,348.42/811.69
  6. Step 6: Final answer
    x = 1,720.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.