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Finding the Third Proportional to 326,907 and 505,138.50

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Solution

The third proportional to 326,907 and 505,138.50 is: 780,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,907 : 505,138.50 = 505,138.50 : x
  2. Step 2: Convert to fraction form
    326,907/505,138.50 = 505,138.50/x
  3. Step 3: Cross multiply
    326,907x = 505,138.50 × 505,138.50
  4. Step 4: Simplify right side
    326,907x = 255,164,904,182.25
  5. Step 5: Solve for x
    x = 255,164,904,182.25/326,907
  6. Step 6: Final answer
    x = 780,542.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.