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Finding the Third Proportional to 3,129.75 and 6,692.63

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Solution

The third proportional to 3,129.75 and 6,692.63 is: 14,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.75 : 6,692.63 = 6,692.63 : x
  2. Step 2: Convert to fraction form
    3,129.75/6,692.63 = 6,692.63/x
  3. Step 3: Cross multiply
    3,129.75x = 6,692.63 × 6,692.63
  4. Step 4: Simplify right side
    3,129.75x = 44,791,229.39
  5. Step 5: Solve for x
    x = 44,791,229.39/3,129.75
  6. Step 6: Final answer
    x = 14,311.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.