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Finding the Third Proportional to 91,736.25 and 193,446.75

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Solution

The third proportional to 91,736.25 and 193,446.75 is: 407,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,736.25 : 193,446.75 = 193,446.75 : x
  2. Step 2: Convert to fraction form
    91,736.25/193,446.75 = 193,446.75/x
  3. Step 3: Cross multiply
    91,736.25x = 193,446.75 × 193,446.75
  4. Step 4: Simplify right side
    91,736.25x = 37,421,645,085.56
  5. Step 5: Solve for x
    x = 37,421,645,085.56/91,736.25
  6. Step 6: Final answer
    x = 407,926.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.