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Finding the Third Proportional to 7,811 and 12,276

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Solution

The third proportional to 7,811 and 12,276 is: 19,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811 : 12,276 = 12,276 : x
  2. Step 2: Convert to fraction form
    7,811/12,276 = 12,276/x
  3. Step 3: Cross multiply
    7,811x = 12,276 × 12,276
  4. Step 4: Simplify right side
    7,811x = 150,700,176
  5. Step 5: Solve for x
    x = 150,700,176/7,811
  6. Step 6: Final answer
    x = 19,293.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.