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Finding the Third Proportional to 3,780.42 and 6,968.53

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Solution

The third proportional to 3,780.42 and 6,968.53 is: 12,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.42 : 6,968.53 = 6,968.53 : x
  2. Step 2: Convert to fraction form
    3,780.42/6,968.53 = 6,968.53/x
  3. Step 3: Cross multiply
    3,780.42x = 6,968.53 × 6,968.53
  4. Step 4: Simplify right side
    3,780.42x = 48,560,427.78
  5. Step 5: Solve for x
    x = 48,560,427.78/3,780.42
  6. Step 6: Final answer
    x = 12,845.24

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.