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Finding the Third Proportional to 11,740.50 and 19,194.75

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Solution

The third proportional to 11,740.50 and 19,194.75 is: 31,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.50 : 19,194.75 = 19,194.75 : x
  2. Step 2: Convert to fraction form
    11,740.50/19,194.75 = 19,194.75/x
  3. Step 3: Cross multiply
    11,740.50x = 19,194.75 × 19,194.75
  4. Step 4: Simplify right side
    11,740.50x = 368,438,427.56
  5. Step 5: Solve for x
    x = 368,438,427.56/11,740.50
  6. Step 6: Final answer
    x = 31,381.83

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.