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Finding the Third Proportional to 218,323.69 and 347,168.81

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Solution

The third proportional to 218,323.69 and 347,168.81 is: 552,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,323.69 : 347,168.81 = 347,168.81 : x
  2. Step 2: Convert to fraction form
    218,323.69/347,168.81 = 347,168.81/x
  3. Step 3: Cross multiply
    218,323.69x = 347,168.81 × 347,168.81
  4. Step 4: Simplify right side
    218,323.69x = 120,526,184,372.66
  5. Step 5: Solve for x
    x = 120,526,184,372.66/218,323.69
  6. Step 6: Final answer
    x = 552,052.71

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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.