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Finding the Third Proportional to 4,009 and 5,631

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Solution

The third proportional to 4,009 and 5,631 is: 7,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009 : 5,631 = 5,631 : x
  2. Step 2: Convert to fraction form
    4,009/5,631 = 5,631/x
  3. Step 3: Cross multiply
    4,009x = 5,631 × 5,631
  4. Step 4: Simplify right side
    4,009x = 31,708,161
  5. Step 5: Solve for x
    x = 31,708,161/4,009
  6. Step 6: Final answer
    x = 7,909.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.