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Finding the Third Proportional to 149,709.75 and 220,181.25

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Solution

The third proportional to 149,709.75 and 220,181.25 is: 323,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,709.75 : 220,181.25 = 220,181.25 : x
  2. Step 2: Convert to fraction form
    149,709.75/220,181.25 = 220,181.25/x
  3. Step 3: Cross multiply
    149,709.75x = 220,181.25 × 220,181.25
  4. Step 4: Simplify right side
    149,709.75x = 48,479,782,851.56
  5. Step 5: Solve for x
    x = 48,479,782,851.56/149,709.75
  6. Step 6: Final answer
    x = 323,825.15

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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.