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Finding the Third Proportional to 218,571.75 and 347,549.63

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Solution

The third proportional to 218,571.75 and 347,549.63 is: 552,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,571.75 : 347,549.63 = 347,549.63 : x
  2. Step 2: Convert to fraction form
    218,571.75/347,549.63 = 347,549.63/x
  3. Step 3: Cross multiply
    218,571.75x = 347,549.63 × 347,549.63
  4. Step 4: Simplify right side
    218,571.75x = 120,790,741,837.64
  5. Step 5: Solve for x
    x = 120,790,741,837.64/218,571.75
  6. Step 6: Final answer
    x = 552,636.57

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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.