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Finding the Third Proportional to 146,986.50 and 321,993.75

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Solution

The third proportional to 146,986.50 and 321,993.75 is: 705,370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,986.50 : 321,993.75 = 321,993.75 : x
  2. Step 2: Convert to fraction form
    146,986.50/321,993.75 = 321,993.75/x
  3. Step 3: Cross multiply
    146,986.50x = 321,993.75 × 321,993.75
  4. Step 4: Simplify right side
    146,986.50x = 103,679,975,039.06
  5. Step 5: Solve for x
    x = 103,679,975,039.06/146,986.50
  6. Step 6: Final answer
    x = 705,370.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.