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Finding the Third Proportional to 785.21 and 1,692.56

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Solution

The third proportional to 785.21 and 1,692.56 is: 3,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.21 : 1,692.56 = 1,692.56 : x
  2. Step 2: Convert to fraction form
    785.21/1,692.56 = 1,692.56/x
  3. Step 3: Cross multiply
    785.21x = 1,692.56 × 1,692.56
  4. Step 4: Simplify right side
    785.21x = 2,864,767.82
  5. Step 5: Solve for x
    x = 2,864,767.82/785.21
  6. Step 6: Final answer
    x = 3,648.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.