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Finding the Third Proportional to 6,448.78 and 14,112.56

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Solution

The third proportional to 6,448.78 and 14,112.56 is: 30,884.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.78 : 14,112.56 = 14,112.56 : x
  2. Step 2: Convert to fraction form
    6,448.78/14,112.56 = 14,112.56/x
  3. Step 3: Cross multiply
    6,448.78x = 14,112.56 × 14,112.56
  4. Step 4: Simplify right side
    6,448.78x = 199,164,420.32
  5. Step 5: Solve for x
    x = 199,164,420.32/6,448.78
  6. Step 6: Final answer
    x = 30,884.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.