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Finding the Third Proportional to 69,334.31 and 149,040.84

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Solution

The third proportional to 69,334.31 and 149,040.84 is: 320,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,334.31 : 149,040.84 = 149,040.84 : x
  2. Step 2: Convert to fraction form
    69,334.31/149,040.84 = 149,040.84/x
  3. Step 3: Cross multiply
    69,334.31x = 149,040.84 × 149,040.84
  4. Step 4: Simplify right side
    69,334.31x = 22,213,173,105.71
  5. Step 5: Solve for x
    x = 22,213,173,105.71/69,334.31
  6. Step 6: Final answer
    x = 320,377.78

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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.