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Finding the Third Proportional to 149,215.50 and 210,933.75

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Solution

The third proportional to 149,215.50 and 210,933.75 is: 298,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,215.50 : 210,933.75 = 210,933.75 : x
  2. Step 2: Convert to fraction form
    149,215.50/210,933.75 = 210,933.75/x
  3. Step 3: Cross multiply
    149,215.50x = 210,933.75 × 210,933.75
  4. Step 4: Simplify right side
    149,215.50x = 44,493,046,889.06
  5. Step 5: Solve for x
    x = 44,493,046,889.06/149,215.50
  6. Step 6: Final answer
    x = 298,179.79

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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.