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Finding the Third Proportional to 785.42 and 1,635.44

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Solution

The third proportional to 785.42 and 1,635.44 is: 3,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.42 : 1,635.44 = 1,635.44 : x
  2. Step 2: Convert to fraction form
    785.42/1,635.44 = 1,635.44/x
  3. Step 3: Cross multiply
    785.42x = 1,635.44 × 1,635.44
  4. Step 4: Simplify right side
    785.42x = 2,674,678.97
  5. Step 5: Solve for x
    x = 2,674,678.97/785.42
  6. Step 6: Final answer
    x = 3,405.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.