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Finding the Third Proportional to 7,811 and 11,726

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Solution

The third proportional to 7,811 and 11,726 is: 17,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811 : 11,726 = 11,726 : x
  2. Step 2: Convert to fraction form
    7,811/11,726 = 11,726/x
  3. Step 3: Cross multiply
    7,811x = 11,726 × 11,726
  4. Step 4: Simplify right side
    7,811x = 137,499,076
  5. Step 5: Solve for x
    x = 137,499,076/7,811
  6. Step 6: Final answer
    x = 17,603.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.