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Finding the Third Proportional to 121,609.69 and 194,268.38

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Solution

The third proportional to 121,609.69 and 194,268.38 is: 310,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,609.69 : 194,268.38 = 194,268.38 : x
  2. Step 2: Convert to fraction form
    121,609.69/194,268.38 = 194,268.38/x
  3. Step 3: Cross multiply
    121,609.69x = 194,268.38 × 194,268.38
  4. Step 4: Simplify right side
    121,609.69x = 37,740,201,525.14
  5. Step 5: Solve for x
    x = 37,740,201,525.14/121,609.69
  6. Step 6: Final answer
    x = 310,338.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.