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Finding the Third Proportional to 1,991 and 4,815.50

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Solution

The third proportional to 1,991 and 4,815.50 is: 11,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991 : 4,815.50 = 4,815.50 : x
  2. Step 2: Convert to fraction form
    1,991/4,815.50 = 4,815.50/x
  3. Step 3: Cross multiply
    1,991x = 4,815.50 × 4,815.50
  4. Step 4: Simplify right side
    1,991x = 23,189,040.25
  5. Step 5: Solve for x
    x = 23,189,040.25/1,991
  6. Step 6: Final answer
    x = 11,646.93

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.