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Finding the Third Proportional to 12,840.75 and 13,812.75

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Solution

The third proportional to 12,840.75 and 13,812.75 is: 14,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.75 : 13,812.75 = 13,812.75 : x
  2. Step 2: Convert to fraction form
    12,840.75/13,812.75 = 13,812.75/x
  3. Step 3: Cross multiply
    12,840.75x = 13,812.75 × 13,812.75
  4. Step 4: Simplify right side
    12,840.75x = 190,792,062.56
  5. Step 5: Solve for x
    x = 190,792,062.56/12,840.75
  6. Step 6: Final answer
    x = 14,858.33

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.