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Finding the Third Proportional to 728,771.50 and 1,601,021

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Solution

The third proportional to 728,771.50 and 1,601,021 is: 3,517,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,771.50 : 1,601,021 = 1,601,021 : x
  2. Step 2: Convert to fraction form
    728,771.50/1,601,021 = 1,601,021/x
  3. Step 3: Cross multiply
    728,771.50x = 1,601,021 × 1,601,021
  4. Step 4: Simplify right side
    728,771.50x = 2,563,268,242,441
  5. Step 5: Solve for x
    x = 2,563,268,242,441/728,771.50
  6. Step 6: Final answer
    x = 3,517,245.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.