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Finding the Third Proportional to 4,021.50 and 7,840.50

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Solution

The third proportional to 4,021.50 and 7,840.50 is: 15,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,021.50 : 7,840.50 = 7,840.50 : x
  2. Step 2: Convert to fraction form
    4,021.50/7,840.50 = 7,840.50/x
  3. Step 3: Cross multiply
    4,021.50x = 7,840.50 × 7,840.50
  4. Step 4: Simplify right side
    4,021.50x = 61,473,440.25
  5. Step 5: Solve for x
    x = 61,473,440.25/4,021.50
  6. Step 6: Final answer
    x = 15,286.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.