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Finding the Third Proportional to 152,856 and 335,968

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Solution

The third proportional to 152,856 and 335,968 is: 738,436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,856 : 335,968 = 335,968 : x
  2. Step 2: Convert to fraction form
    152,856/335,968 = 335,968/x
  3. Step 3: Cross multiply
    152,856x = 335,968 × 335,968
  4. Step 4: Simplify right side
    152,856x = 112,874,497,024
  5. Step 5: Solve for x
    x = 112,874,497,024/152,856
  6. Step 6: Final answer
    x = 738,436.81

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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.