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Finding the Third Proportional to 380,052 and 821,007

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Solution

The third proportional to 380,052 and 821,007 is: 1,773,579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,052 : 821,007 = 821,007 : x
  2. Step 2: Convert to fraction form
    380,052/821,007 = 821,007/x
  3. Step 3: Cross multiply
    380,052x = 821,007 × 821,007
  4. Step 4: Simplify right side
    380,052x = 674,052,494,049
  5. Step 5: Solve for x
    x = 674,052,494,049/380,052
  6. Step 6: Final answer
    x = 1,773,579.65

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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.