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Finding the Third Proportional to 368,103 and 778,647

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Solution

The third proportional to 368,103 and 778,647 is: 1,647,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,103 : 778,647 = 778,647 : x
  2. Step 2: Convert to fraction form
    368,103/778,647 = 778,647/x
  3. Step 3: Cross multiply
    368,103x = 778,647 × 778,647
  4. Step 4: Simplify right side
    368,103x = 606,291,150,609
  5. Step 5: Solve for x
    x = 606,291,150,609/368,103
  6. Step 6: Final answer
    x = 1,647,069.30

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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.