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Finding the Third Proportional to 5,843 and 7,091

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Solution

The third proportional to 5,843 and 7,091 is: 8,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843 : 7,091 = 7,091 : x
  2. Step 2: Convert to fraction form
    5,843/7,091 = 7,091/x
  3. Step 3: Cross multiply
    5,843x = 7,091 × 7,091
  4. Step 4: Simplify right side
    5,843x = 50,282,281
  5. Step 5: Solve for x
    x = 50,282,281/5,843
  6. Step 6: Final answer
    x = 8,605.56

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.