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Finding the Third Proportional to 4,666.36 and 10,821.09

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Solution

The third proportional to 4,666.36 and 10,821.09 is: 25,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.36 : 10,821.09 = 10,821.09 : x
  2. Step 2: Convert to fraction form
    4,666.36/10,821.09 = 10,821.09/x
  3. Step 3: Cross multiply
    4,666.36x = 10,821.09 × 10,821.09
  4. Step 4: Simplify right side
    4,666.36x = 117,096,069.95
  5. Step 5: Solve for x
    x = 117,096,069.95/4,666.36
  6. Step 6: Final answer
    x = 25,093.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.