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Finding the Third Proportional to 380,811 and 821,133

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Solution

The third proportional to 380,811 and 821,133 is: 1,770,588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,811 : 821,133 = 821,133 : x
  2. Step 2: Convert to fraction form
    380,811/821,133 = 821,133/x
  3. Step 3: Cross multiply
    380,811x = 821,133 × 821,133
  4. Step 4: Simplify right side
    380,811x = 674,259,403,689
  5. Step 5: Solve for x
    x = 674,259,403,689/380,811
  6. Step 6: Final answer
    x = 1,770,588.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.