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Finding the Third Proportional to 380,747.25 and 505,406.25

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Solution

The third proportional to 380,747.25 and 505,406.25 is: 670,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,747.25 : 505,406.25 = 505,406.25 : x
  2. Step 2: Convert to fraction form
    380,747.25/505,406.25 = 505,406.25/x
  3. Step 3: Cross multiply
    380,747.25x = 505,406.25 × 505,406.25
  4. Step 4: Simplify right side
    380,747.25x = 255,435,477,539.06
  5. Step 5: Solve for x
    x = 255,435,477,539.06/380,747.25
  6. Step 6: Final answer
    x = 670,879.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.