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Finding the Third Proportional to 4,111.30 and 8,942.35

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Solution

The third proportional to 4,111.30 and 8,942.35 is: 19,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.30 : 8,942.35 = 8,942.35 : x
  2. Step 2: Convert to fraction form
    4,111.30/8,942.35 = 8,942.35/x
  3. Step 3: Cross multiply
    4,111.30x = 8,942.35 × 8,942.35
  4. Step 4: Simplify right side
    4,111.30x = 79,965,668.93
  5. Step 5: Solve for x
    x = 79,965,668.93/4,111.30
  6. Step 6: Final answer
    x = 19,450.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.