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Finding the Third Proportional to 204,039 and 321,709.50

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Solution

The third proportional to 204,039 and 321,709.50 is: 507,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,039 : 321,709.50 = 321,709.50 : x
  2. Step 2: Convert to fraction form
    204,039/321,709.50 = 321,709.50/x
  3. Step 3: Cross multiply
    204,039x = 321,709.50 × 321,709.50
  4. Step 4: Simplify right side
    204,039x = 103,497,002,390.25
  5. Step 5: Solve for x
    x = 103,497,002,390.25/204,039
  6. Step 6: Final answer
    x = 507,241.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.