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Finding the Third Proportional to 2,099 and 5,639

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Solution

The third proportional to 2,099 and 5,639 is: 15,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099 : 5,639 = 5,639 : x
  2. Step 2: Convert to fraction form
    2,099/5,639 = 5,639/x
  3. Step 3: Cross multiply
    2,099x = 5,639 × 5,639
  4. Step 4: Simplify right side
    2,099x = 31,798,321
  5. Step 5: Solve for x
    x = 31,798,321/2,099
  6. Step 6: Final answer
    x = 15,149.27

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.