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Finding the Third Proportional to 6,441.19 and 14,112.56

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Solution

The third proportional to 6,441.19 and 14,112.56 is: 30,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.19 : 14,112.56 = 14,112.56 : x
  2. Step 2: Convert to fraction form
    6,441.19/14,112.56 = 14,112.56/x
  3. Step 3: Cross multiply
    6,441.19x = 14,112.56 × 14,112.56
  4. Step 4: Simplify right side
    6,441.19x = 199,164,420.32
  5. Step 5: Solve for x
    x = 199,164,420.32/6,441.19
  6. Step 6: Final answer
    x = 30,920.45

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Why These Related Problems?

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