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Finding the Third Proportional to 1,991 and 4,321

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Solution

The third proportional to 1,991 and 4,321 is: 9,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991 : 4,321 = 4,321 : x
  2. Step 2: Convert to fraction form
    1,991/4,321 = 4,321/x
  3. Step 3: Cross multiply
    1,991x = 4,321 × 4,321
  4. Step 4: Simplify right side
    1,991x = 18,671,041
  5. Step 5: Solve for x
    x = 18,671,041/1,991
  6. Step 6: Final answer
    x = 9,377.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.