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Finding the Third Proportional to 69,273.75 and 149,141.63

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Solution

The third proportional to 69,273.75 and 149,141.63 is: 321,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,273.75 : 149,141.63 = 149,141.63 : x
  2. Step 2: Convert to fraction form
    69,273.75/149,141.63 = 149,141.63/x
  3. Step 3: Cross multiply
    69,273.75x = 149,141.63 × 149,141.63
  4. Step 4: Simplify right side
    69,273.75x = 22,243,224,307.64
  5. Step 5: Solve for x
    x = 22,243,224,307.64/69,273.75
  6. Step 6: Final answer
    x = 321,091.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.