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Finding the Third Proportional to 204,270.50 and 299,838

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Solution

The third proportional to 204,270.50 and 299,838 is: 440,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,270.50 : 299,838 = 299,838 : x
  2. Step 2: Convert to fraction form
    204,270.50/299,838 = 299,838/x
  3. Step 3: Cross multiply
    204,270.50x = 299,838 × 299,838
  4. Step 4: Simplify right side
    204,270.50x = 89,902,826,244
  5. Step 5: Solve for x
    x = 89,902,826,244/204,270.50
  6. Step 6: Final answer
    x = 440,116.54

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