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Finding the Third Proportional to 218,352.94 and 347,212.69

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Solution

The third proportional to 218,352.94 and 347,212.69 is: 552,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,352.94 : 347,212.69 = 347,212.69 : x
  2. Step 2: Convert to fraction form
    218,352.94/347,212.69 = 347,212.69/x
  3. Step 3: Cross multiply
    218,352.94x = 347,212.69 × 347,212.69
  4. Step 4: Simplify right side
    218,352.94x = 120,556,650,360.97
  5. Step 5: Solve for x
    x = 120,556,650,360.97/218,352.94
  6. Step 6: Final answer
    x = 552,118.29

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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.