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Finding the Third Proportional to 228,912.75 and 478,735.88

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Solution

The third proportional to 228,912.75 and 478,735.88 is: 1,001,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,912.75 : 478,735.88 = 478,735.88 : x
  2. Step 2: Convert to fraction form
    228,912.75/478,735.88 = 478,735.88/x
  3. Step 3: Cross multiply
    228,912.75x = 478,735.88 × 478,735.88
  4. Step 4: Simplify right side
    228,912.75x = 229,188,038,012.02
  5. Step 5: Solve for x
    x = 229,188,038,012.02/228,912.75
  6. Step 6: Final answer
    x = 1,001,202.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.