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Finding the Third Proportional to 285.44 and 440.69

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Solution

The third proportional to 285.44 and 440.69 is: 680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.44 : 440.69 = 440.69 : x
  2. Step 2: Convert to fraction form
    285.44/440.69 = 440.69/x
  3. Step 3: Cross multiply
    285.44x = 440.69 × 440.69
  4. Step 4: Simplify right side
    285.44x = 194,205.47
  5. Step 5: Solve for x
    x = 194,205.47/285.44
  6. Step 6: Final answer
    x = 680.38

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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.