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Finding the Third Proportional to 2,991 and 7,113

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Solution

The third proportional to 2,991 and 7,113 is: 16,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991 : 7,113 = 7,113 : x
  2. Step 2: Convert to fraction form
    2,991/7,113 = 7,113/x
  3. Step 3: Cross multiply
    2,991x = 7,113 × 7,113
  4. Step 4: Simplify right side
    2,991x = 50,594,769
  5. Step 5: Solve for x
    x = 50,594,769/2,991
  6. Step 6: Final answer
    x = 16,915.67

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.