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Finding the Third Proportional to 1,698 and 3,599

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Solution

The third proportional to 1,698 and 3,599 is: 7,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698 : 3,599 = 3,599 : x
  2. Step 2: Convert to fraction form
    1,698/3,599 = 3,599/x
  3. Step 3: Cross multiply
    1,698x = 3,599 × 3,599
  4. Step 4: Simplify right side
    1,698x = 12,952,801
  5. Step 5: Solve for x
    x = 12,952,801/1,698
  6. Step 6: Final answer
    x = 7,628.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.