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Finding the Third Proportional to 152,736 and 335,592

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Solution

The third proportional to 152,736 and 335,592 is: 737,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,736 : 335,592 = 335,592 : x
  2. Step 2: Convert to fraction form
    152,736/335,592 = 335,592/x
  3. Step 3: Cross multiply
    152,736x = 335,592 × 335,592
  4. Step 4: Simplify right side
    152,736x = 112,621,990,464
  5. Step 5: Solve for x
    x = 112,621,990,464/152,736
  6. Step 6: Final answer
    x = 737,363.75

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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.