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Finding the Third Proportional to 10,200.09 and 21,622.78

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Solution

The third proportional to 10,200.09 and 21,622.78 is: 45,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.09 : 21,622.78 = 21,622.78 : x
  2. Step 2: Convert to fraction form
    10,200.09/21,622.78 = 21,622.78/x
  3. Step 3: Cross multiply
    10,200.09x = 21,622.78 × 21,622.78
  4. Step 4: Simplify right side
    10,200.09x = 467,544,668.99
  5. Step 5: Solve for x
    x = 467,544,668.99/10,200.09
  6. Step 6: Final answer
    x = 45,837.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.