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Finding the Third Proportional to 152,786 and 335,662

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Solution

The third proportional to 152,786 and 335,662 is: 737,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,786 : 335,662 = 335,662 : x
  2. Step 2: Convert to fraction form
    152,786/335,662 = 335,662/x
  3. Step 3: Cross multiply
    152,786x = 335,662 × 335,662
  4. Step 4: Simplify right side
    152,786x = 112,668,978,244
  5. Step 5: Solve for x
    x = 112,668,978,244/152,786
  6. Step 6: Final answer
    x = 737,429.99

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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.