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Finding the Third Proportional to 380,066 and 821,034

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Solution

The third proportional to 380,066 and 821,034 is: 1,773,630.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,066 : 821,034 = 821,034 : x
  2. Step 2: Convert to fraction form
    380,066/821,034 = 821,034/x
  3. Step 3: Cross multiply
    380,066x = 821,034 × 821,034
  4. Step 4: Simplify right side
    380,066x = 674,096,829,156
  5. Step 5: Solve for x
    x = 674,096,829,156/380,066
  6. Step 6: Final answer
    x = 1,773,630.97

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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.