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Finding the Third Proportional to 181.40 and 391.64

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Solution

The third proportional to 181.40 and 391.64 is: 845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.40 : 391.64 = 391.64 : x
  2. Step 2: Convert to fraction form
    181.40/391.64 = 391.64/x
  3. Step 3: Cross multiply
    181.40x = 391.64 × 391.64
  4. Step 4: Simplify right side
    181.40x = 153,383.24
  5. Step 5: Solve for x
    x = 153,383.24/181.40
  6. Step 6: Final answer
    x = 845.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.