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Finding the Third Proportional to 8,302 and 12,485

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Solution

The third proportional to 8,302 and 12,485 is: 18,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302 : 12,485 = 12,485 : x
  2. Step 2: Convert to fraction form
    8,302/12,485 = 12,485/x
  3. Step 3: Cross multiply
    8,302x = 12,485 × 12,485
  4. Step 4: Simplify right side
    8,302x = 155,875,225
  5. Step 5: Solve for x
    x = 155,875,225/8,302
  6. Step 6: Final answer
    x = 18,775.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.