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Finding the Third Proportional to 223,116 and 435,021

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Solution

The third proportional to 223,116 and 435,021 is: 848,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,116 : 435,021 = 435,021 : x
  2. Step 2: Convert to fraction form
    223,116/435,021 = 435,021/x
  3. Step 3: Cross multiply
    223,116x = 435,021 × 435,021
  4. Step 4: Simplify right side
    223,116x = 189,243,270,441
  5. Step 5: Solve for x
    x = 189,243,270,441/223,116
  6. Step 6: Final answer
    x = 848,183.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.