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Finding the Third Proportional to 367,022 and 778,109

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Solution

The third proportional to 367,022 and 778,109 is: 1,649,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,022 : 778,109 = 778,109 : x
  2. Step 2: Convert to fraction form
    367,022/778,109 = 778,109/x
  3. Step 3: Cross multiply
    367,022x = 778,109 × 778,109
  4. Step 4: Simplify right side
    367,022x = 605,453,615,881
  5. Step 5: Solve for x
    x = 605,453,615,881/367,022
  6. Step 6: Final answer
    x = 1,649,638.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.