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Finding the Third Proportional to 4,833.42 and 10,604.67

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Solution

The third proportional to 4,833.42 and 10,604.67 is: 23,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.42 : 10,604.67 = 10,604.67 : x
  2. Step 2: Convert to fraction form
    4,833.42/10,604.67 = 10,604.67/x
  3. Step 3: Cross multiply
    4,833.42x = 10,604.67 × 10,604.67
  4. Step 4: Simplify right side
    4,833.42x = 112,459,065.58
  5. Step 5: Solve for x
    x = 112,459,065.58/4,833.42
  6. Step 6: Final answer
    x = 23,266.97

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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.