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Finding the Third Proportional to 286.08 and 443.91

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Solution

The third proportional to 286.08 and 443.91 is: 688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.08 : 443.91 = 443.91 : x
  2. Step 2: Convert to fraction form
    286.08/443.91 = 443.91/x
  3. Step 3: Cross multiply
    286.08x = 443.91 × 443.91
  4. Step 4: Simplify right side
    286.08x = 197,052.76
  5. Step 5: Solve for x
    x = 197,052.76/286.08
  6. Step 6: Final answer
    x = 688.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.