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Finding the Third Proportional to 201,242.50 and 419,020.50

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Solution

The third proportional to 201,242.50 and 419,020.50 is: 872,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,242.50 : 419,020.50 = 419,020.50 : x
  2. Step 2: Convert to fraction form
    201,242.50/419,020.50 = 419,020.50/x
  3. Step 3: Cross multiply
    201,242.50x = 419,020.50 × 419,020.50
  4. Step 4: Simplify right side
    201,242.50x = 175,578,179,420.25
  5. Step 5: Solve for x
    x = 175,578,179,420.25/201,242.50
  6. Step 6: Final answer
    x = 872,470.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.