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Finding the Third Proportional to 335.77 and 729.09

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Solution

The third proportional to 335.77 and 729.09 is: 1,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.77 : 729.09 = 729.09 : x
  2. Step 2: Convert to fraction form
    335.77/729.09 = 729.09/x
  3. Step 3: Cross multiply
    335.77x = 729.09 × 729.09
  4. Step 4: Simplify right side
    335.77x = 531,577.70
  5. Step 5: Solve for x
    x = 531,577.70/335.77
  6. Step 6: Final answer
    x = 1,583.18

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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.