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Finding the Third Proportional to 201,811.50 and 321,185.25

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Solution

The third proportional to 201,811.50 and 321,185.25 is: 511,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,811.50 : 321,185.25 = 321,185.25 : x
  2. Step 2: Convert to fraction form
    201,811.50/321,185.25 = 321,185.25/x
  3. Step 3: Cross multiply
    201,811.50x = 321,185.25 × 321,185.25
  4. Step 4: Simplify right side
    201,811.50x = 103,159,964,817.56
  5. Step 5: Solve for x
    x = 103,159,964,817.56/201,811.50
  6. Step 6: Final answer
    x = 511,169.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.