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Finding the Third Proportional to 203,556.38 and 299,413.13

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Solution

The third proportional to 203,556.38 and 299,413.13 is: 440,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,556.38 : 299,413.13 = 299,413.13 : x
  2. Step 2: Convert to fraction form
    203,556.38/299,413.13 = 299,413.13/x
  3. Step 3: Cross multiply
    203,556.38x = 299,413.13 × 299,413.13
  4. Step 4: Simplify right side
    203,556.38x = 89,648,219,422.27
  5. Step 5: Solve for x
    x = 89,648,219,422.27/203,556.38
  6. Step 6: Final answer
    x = 440,409.79

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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.