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Finding the Third Proportional to 143,268.75 and 311,413.36

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Solution

The third proportional to 143,268.75 and 311,413.36 is: 676,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,268.75 : 311,413.36 = 311,413.36 : x
  2. Step 2: Convert to fraction form
    143,268.75/311,413.36 = 311,413.36/x
  3. Step 3: Cross multiply
    143,268.75x = 311,413.36 × 311,413.36
  4. Step 4: Simplify right side
    143,268.75x = 96,978,280,397.22
  5. Step 5: Solve for x
    x = 96,978,280,397.22/143,268.75
  6. Step 6: Final answer
    x = 676,897.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.