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Finding the Third Proportional to 6,991 and 9,964

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Solution

The third proportional to 6,991 and 9,964 is: 14,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991 : 9,964 = 9,964 : x
  2. Step 2: Convert to fraction form
    6,991/9,964 = 9,964/x
  3. Step 3: Cross multiply
    6,991x = 9,964 × 9,964
  4. Step 4: Simplify right side
    6,991x = 99,281,296
  5. Step 5: Solve for x
    x = 99,281,296/6,991
  6. Step 6: Final answer
    x = 14,201.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.