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Finding the Third Proportional to 785.64 and 1,636.45

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Solution

The third proportional to 785.64 and 1,636.45 is: 3,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.64 : 1,636.45 = 1,636.45 : x
  2. Step 2: Convert to fraction form
    785.64/1,636.45 = 1,636.45/x
  3. Step 3: Cross multiply
    785.64x = 1,636.45 × 1,636.45
  4. Step 4: Simplify right side
    785.64x = 2,677,978.83
  5. Step 5: Solve for x
    x = 2,677,978.83/785.64
  6. Step 6: Final answer
    x = 3,408.67

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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.