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Finding the Third Proportional to 143,194.50 and 218,558.25

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Solution

The third proportional to 143,194.50 and 218,558.25 is: 333,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,194.50 : 218,558.25 = 218,558.25 : x
  2. Step 2: Convert to fraction form
    143,194.50/218,558.25 = 218,558.25/x
  3. Step 3: Cross multiply
    143,194.50x = 218,558.25 × 218,558.25
  4. Step 4: Simplify right side
    143,194.50x = 47,767,708,643.06
  5. Step 5: Solve for x
    x = 47,767,708,643.06/143,194.50
  6. Step 6: Final answer
    x = 333,586.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.