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Finding the Third Proportional to 12,155 and 19,847

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Solution

The third proportional to 12,155 and 19,847 is: 32,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155 : 19,847 = 19,847 : x
  2. Step 2: Convert to fraction form
    12,155/19,847 = 19,847/x
  3. Step 3: Cross multiply
    12,155x = 19,847 × 19,847
  4. Step 4: Simplify right side
    12,155x = 393,903,409
  5. Step 5: Solve for x
    x = 393,903,409/12,155
  6. Step 6: Final answer
    x = 32,406.70

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.