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Finding the Third Proportional to 286.98 and 693.88

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Solution

The third proportional to 286.98 and 693.88 is: 1,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.98 : 693.88 = 693.88 : x
  2. Step 2: Convert to fraction form
    286.98/693.88 = 693.88/x
  3. Step 3: Cross multiply
    286.98x = 693.88 × 693.88
  4. Step 4: Simplify right side
    286.98x = 481,467.94
  5. Step 5: Solve for x
    x = 481,467.94/286.98
  6. Step 6: Final answer
    x = 1,677.70

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.