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Finding the Third Proportional to 8,382 and 11,119.50

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Solution

The third proportional to 8,382 and 11,119.50 is: 14,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382 : 11,119.50 = 11,119.50 : x
  2. Step 2: Convert to fraction form
    8,382/11,119.50 = 11,119.50/x
  3. Step 3: Cross multiply
    8,382x = 11,119.50 × 11,119.50
  4. Step 4: Simplify right side
    8,382x = 123,643,280.25
  5. Step 5: Solve for x
    x = 123,643,280.25/8,382
  6. Step 6: Final answer
    x = 14,751.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.