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Finding the Third Proportional to 2,091 and 2,829

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Solution

The third proportional to 2,091 and 2,829 is: 3,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091 : 2,829 = 2,829 : x
  2. Step 2: Convert to fraction form
    2,091/2,829 = 2,829/x
  3. Step 3: Cross multiply
    2,091x = 2,829 × 2,829
  4. Step 4: Simplify right side
    2,091x = 8,003,241
  5. Step 5: Solve for x
    x = 8,003,241/2,091
  6. Step 6: Final answer
    x = 3,827.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.