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Finding the Third Proportional to 85,251.75 and 124,128.75

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Solution

The third proportional to 85,251.75 and 124,128.75 is: 180,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,251.75 : 124,128.75 = 124,128.75 : x
  2. Step 2: Convert to fraction form
    85,251.75/124,128.75 = 124,128.75/x
  3. Step 3: Cross multiply
    85,251.75x = 124,128.75 × 124,128.75
  4. Step 4: Simplify right side
    85,251.75x = 15,407,946,576.56
  5. Step 5: Solve for x
    x = 15,407,946,576.56/85,251.75
  6. Step 6: Final answer
    x = 180,734.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.