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Finding the Third Proportional to 289.35 and 445.18

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Solution

The third proportional to 289.35 and 445.18 is: 684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.35 : 445.18 = 445.18 : x
  2. Step 2: Convert to fraction form
    289.35/445.18 = 445.18/x
  3. Step 3: Cross multiply
    289.35x = 445.18 × 445.18
  4. Step 4: Simplify right side
    289.35x = 198,188.43
  5. Step 5: Solve for x
    x = 198,188.43/289.35
  6. Step 6: Final answer
    x = 684.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.