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Finding the Third Proportional to 11,991 and 18,403.50

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Solution

The third proportional to 11,991 and 18,403.50 is: 28,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991 : 18,403.50 = 18,403.50 : x
  2. Step 2: Convert to fraction form
    11,991/18,403.50 = 18,403.50/x
  3. Step 3: Cross multiply
    11,991x = 18,403.50 × 18,403.50
  4. Step 4: Simplify right side
    11,991x = 338,688,812.25
  5. Step 5: Solve for x
    x = 338,688,812.25/11,991
  6. Step 6: Final answer
    x = 28,245.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.