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Finding the Third Proportional to 5,405 and 6,647

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Solution

The third proportional to 5,405 and 6,647 is: 8,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405 : 6,647 = 6,647 : x
  2. Step 2: Convert to fraction form
    5,405/6,647 = 6,647/x
  3. Step 3: Cross multiply
    5,405x = 6,647 × 6,647
  4. Step 4: Simplify right side
    5,405x = 44,182,609
  5. Step 5: Solve for x
    x = 44,182,609/5,405
  6. Step 6: Final answer
    x = 8,174.40

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.