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Finding the Third Proportional to 138,128.44 and 194,967.56

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Solution

The third proportional to 138,128.44 and 194,967.56 is: 275,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,128.44 : 194,967.56 = 194,967.56 : x
  2. Step 2: Convert to fraction form
    138,128.44/194,967.56 = 194,967.56/x
  3. Step 3: Cross multiply
    138,128.44x = 194,967.56 × 194,967.56
  4. Step 4: Simplify right side
    138,128.44x = 38,012,350,427.19
  5. Step 5: Solve for x
    x = 38,012,350,427.19/138,128.44
  6. Step 6: Final answer
    x = 275,195.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.