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Finding the Third Proportional to 8,346 and 10,993.50

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Solution

The third proportional to 8,346 and 10,993.50 is: 14,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346 : 10,993.50 = 10,993.50 : x
  2. Step 2: Convert to fraction form
    8,346/10,993.50 = 10,993.50/x
  3. Step 3: Cross multiply
    8,346x = 10,993.50 × 10,993.50
  4. Step 4: Simplify right side
    8,346x = 120,857,042.25
  5. Step 5: Solve for x
    x = 120,857,042.25/8,346
  6. Step 6: Final answer
    x = 14,480.83

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.