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Finding the Third Proportional to 152,850 and 335,956

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Solution

The third proportional to 152,850 and 335,956 is: 738,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,850 : 335,956 = 335,956 : x
  2. Step 2: Convert to fraction form
    152,850/335,956 = 335,956/x
  3. Step 3: Cross multiply
    152,850x = 335,956 × 335,956
  4. Step 4: Simplify right side
    152,850x = 112,866,433,936
  5. Step 5: Solve for x
    x = 112,866,433,936/152,850
  6. Step 6: Final answer
    x = 738,413.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.