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Finding the Third Proportional to 149,729.25 and 220,212.75

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Solution

The third proportional to 149,729.25 and 220,212.75 is: 323,875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,729.25 : 220,212.75 = 220,212.75 : x
  2. Step 2: Convert to fraction form
    149,729.25/220,212.75 = 220,212.75/x
  3. Step 3: Cross multiply
    149,729.25x = 220,212.75 × 220,212.75
  4. Step 4: Simplify right side
    149,729.25x = 48,493,655,262.56
  5. Step 5: Solve for x
    x = 48,493,655,262.56/149,729.25
  6. Step 6: Final answer
    x = 323,875.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.