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Finding the Third Proportional to 7,869 and 15,535.50

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Solution

The third proportional to 7,869 and 15,535.50 is: 30,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869 : 15,535.50 = 15,535.50 : x
  2. Step 2: Convert to fraction form
    7,869/15,535.50 = 15,535.50/x
  3. Step 3: Cross multiply
    7,869x = 15,535.50 × 15,535.50
  4. Step 4: Simplify right side
    7,869x = 241,351,760.25
  5. Step 5: Solve for x
    x = 241,351,760.25/7,869
  6. Step 6: Final answer
    x = 30,671.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.