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Finding the Third Proportional to 138,361.50 and 208,812.75

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Solution

The third proportional to 138,361.50 and 208,812.75 is: 315,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,361.50 : 208,812.75 = 208,812.75 : x
  2. Step 2: Convert to fraction form
    138,361.50/208,812.75 = 208,812.75/x
  3. Step 3: Cross multiply
    138,361.50x = 208,812.75 × 208,812.75
  4. Step 4: Simplify right side
    138,361.50x = 43,602,764,562.56
  5. Step 5: Solve for x
    x = 43,602,764,562.56/138,361.50
  6. Step 6: Final answer
    x = 315,136.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.