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Finding the Third Proportional to 433,940 and 889,021

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Solution

The third proportional to 433,940 and 889,021 is: 1,821,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,940 : 889,021 = 889,021 : x
  2. Step 2: Convert to fraction form
    433,940/889,021 = 889,021/x
  3. Step 3: Cross multiply
    433,940x = 889,021 × 889,021
  4. Step 4: Simplify right side
    433,940x = 790,358,338,441
  5. Step 5: Solve for x
    x = 790,358,338,441/433,940
  6. Step 6: Final answer
    x = 1,821,353.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.