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Finding the Third Proportional to 132,020.75 and 311,346.75

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Solution

The third proportional to 132,020.75 and 311,346.75 is: 734,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,020.75 : 311,346.75 = 311,346.75 : x
  2. Step 2: Convert to fraction form
    132,020.75/311,346.75 = 311,346.75/x
  3. Step 3: Cross multiply
    132,020.75x = 311,346.75 × 311,346.75
  4. Step 4: Simplify right side
    132,020.75x = 96,936,798,735.56
  5. Step 5: Solve for x
    x = 96,936,798,735.56/132,020.75
  6. Step 6: Final answer
    x = 734,254.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.