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Finding the Third Proportional to 785.88 and 1,636.24

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Solution

The third proportional to 785.88 and 1,636.24 is: 3,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.88 : 1,636.24 = 1,636.24 : x
  2. Step 2: Convert to fraction form
    785.88/1,636.24 = 1,636.24/x
  3. Step 3: Cross multiply
    785.88x = 1,636.24 × 1,636.24
  4. Step 4: Simplify right side
    785.88x = 2,677,288.50
  5. Step 5: Solve for x
    x = 2,677,288.50/785.88
  6. Step 6: Final answer
    x = 3,406.73

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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.