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Finding the Third Proportional to 368,136 and 778,707

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Solution

The third proportional to 368,136 and 778,707 is: 1,647,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,136 : 778,707 = 778,707 : x
  2. Step 2: Convert to fraction form
    368,136/778,707 = 778,707/x
  3. Step 3: Cross multiply
    368,136x = 778,707 × 778,707
  4. Step 4: Simplify right side
    368,136x = 606,384,591,849
  5. Step 5: Solve for x
    x = 606,384,591,849/368,136
  6. Step 6: Final answer
    x = 1,647,175.48

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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.