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Finding the Third Proportional to 366,108 and 788,396.25

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Solution

The third proportional to 366,108 and 788,396.25 is: 1,697,774.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,108 : 788,396.25 = 788,396.25 : x
  2. Step 2: Convert to fraction form
    366,108/788,396.25 = 788,396.25/x
  3. Step 3: Cross multiply
    366,108x = 788,396.25 × 788,396.25
  4. Step 4: Simplify right side
    366,108x = 621,568,647,014.06
  5. Step 5: Solve for x
    x = 621,568,647,014.06/366,108
  6. Step 6: Final answer
    x = 1,697,774.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.