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Finding the Third Proportional to 285.94 and 673.97

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Solution

The third proportional to 285.94 and 673.97 is: 1,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.94 : 673.97 = 673.97 : x
  2. Step 2: Convert to fraction form
    285.94/673.97 = 673.97/x
  3. Step 3: Cross multiply
    285.94x = 673.97 × 673.97
  4. Step 4: Simplify right side
    285.94x = 454,233.88
  5. Step 5: Solve for x
    x = 454,233.88/285.94
  6. Step 6: Final answer
    x = 1,588.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.