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Finding the Third Proportional to 4,954.22 and 10,827.28

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Solution

The third proportional to 4,954.22 and 10,827.28 is: 23,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.22 : 10,827.28 = 10,827.28 : x
  2. Step 2: Convert to fraction form
    4,954.22/10,827.28 = 10,827.28/x
  3. Step 3: Cross multiply
    4,954.22x = 10,827.28 × 10,827.28
  4. Step 4: Simplify right side
    4,954.22x = 117,230,019.27
  5. Step 5: Solve for x
    x = 117,230,019.27/4,954.22
  6. Step 6: Final answer
    x = 23,662.67

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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.