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Finding the Third Proportional to 515,819 and 788,993

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Solution

The third proportional to 515,819 and 788,993 is: 1,206,837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,819 : 788,993 = 788,993 : x
  2. Step 2: Convert to fraction form
    515,819/788,993 = 788,993/x
  3. Step 3: Cross multiply
    515,819x = 788,993 × 788,993
  4. Step 4: Simplify right side
    515,819x = 622,509,954,049
  5. Step 5: Solve for x
    x = 622,509,954,049/515,819
  6. Step 6: Final answer
    x = 1,206,837.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.