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Finding the Third Proportional to 12,015 and 19,195.50

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Solution

The third proportional to 12,015 and 19,195.50 is: 30,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015 : 19,195.50 = 19,195.50 : x
  2. Step 2: Convert to fraction form
    12,015/19,195.50 = 19,195.50/x
  3. Step 3: Cross multiply
    12,015x = 19,195.50 × 19,195.50
  4. Step 4: Simplify right side
    12,015x = 368,467,220.25
  5. Step 5: Solve for x
    x = 368,467,220.25/12,015
  6. Step 6: Final answer
    x = 30,667.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.