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Finding the Third Proportional to 315,015.75 and 505,325.25

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Solution

The third proportional to 315,015.75 and 505,325.25 is: 810,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,015.75 : 505,325.25 = 505,325.25 : x
  2. Step 2: Convert to fraction form
    315,015.75/505,325.25 = 505,325.25/x
  3. Step 3: Cross multiply
    315,015.75x = 505,325.25 × 505,325.25
  4. Step 4: Simplify right side
    315,015.75x = 255,353,608,287.56
  5. Step 5: Solve for x
    x = 255,353,608,287.56/315,015.75
  6. Step 6: Final answer
    x = 810,605.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.