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Finding the Third Proportional to 150,190 and 209,975.50

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Solution

The third proportional to 150,190 and 209,975.50 is: 293,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,190 : 209,975.50 = 209,975.50 : x
  2. Step 2: Convert to fraction form
    150,190/209,975.50 = 209,975.50/x
  3. Step 3: Cross multiply
    150,190x = 209,975.50 × 209,975.50
  4. Step 4: Simplify right side
    150,190x = 44,089,710,600.25
  5. Step 5: Solve for x
    x = 44,089,710,600.25/150,190
  6. Step 6: Final answer
    x = 293,559.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.