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Finding the Third Proportional to 4,035 and 7,975.50

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Solution

The third proportional to 4,035 and 7,975.50 is: 15,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,035 : 7,975.50 = 7,975.50 : x
  2. Step 2: Convert to fraction form
    4,035/7,975.50 = 7,975.50/x
  3. Step 3: Cross multiply
    4,035x = 7,975.50 × 7,975.50
  4. Step 4: Simplify right side
    4,035x = 63,608,600.25
  5. Step 5: Solve for x
    x = 63,608,600.25/4,035
  6. Step 6: Final answer
    x = 15,764.21

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.