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Finding the Third Proportional to 11,199 and 23,476.50

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Solution

The third proportional to 11,199 and 23,476.50 is: 49,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199 : 23,476.50 = 23,476.50 : x
  2. Step 2: Convert to fraction form
    11,199/23,476.50 = 23,476.50/x
  3. Step 3: Cross multiply
    11,199x = 23,476.50 × 23,476.50
  4. Step 4: Simplify right side
    11,199x = 551,146,052.25
  5. Step 5: Solve for x
    x = 551,146,052.25/11,199
  6. Step 6: Final answer
    x = 49,213.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.