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Finding the Third Proportional to 201,912.75 and 311,293.13

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Solution

The third proportional to 201,912.75 and 311,293.13 is: 479,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,912.75 : 311,293.13 = 311,293.13 : x
  2. Step 2: Convert to fraction form
    201,912.75/311,293.13 = 311,293.13/x
  3. Step 3: Cross multiply
    201,912.75x = 311,293.13 × 311,293.13
  4. Step 4: Simplify right side
    201,912.75x = 96,903,409,672.27
  5. Step 5: Solve for x
    x = 96,903,409,672.27/201,912.75
  6. Step 6: Final answer
    x = 479,927.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.