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Finding the Third Proportional to 5,692.50 and 8,680.50

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Solution

The third proportional to 5,692.50 and 8,680.50 is: 13,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.50 : 8,680.50 = 8,680.50 : x
  2. Step 2: Convert to fraction form
    5,692.50/8,680.50 = 8,680.50/x
  3. Step 3: Cross multiply
    5,692.50x = 8,680.50 × 8,680.50
  4. Step 4: Simplify right side
    5,692.50x = 75,351,080.25
  5. Step 5: Solve for x
    x = 75,351,080.25/5,692.50
  6. Step 6: Final answer
    x = 13,236.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.