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Finding the Third Proportional to 1,975 and 3,240.50

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Solution

The third proportional to 1,975 and 3,240.50 is: 5,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975 : 3,240.50 = 3,240.50 : x
  2. Step 2: Convert to fraction form
    1,975/3,240.50 = 3,240.50/x
  3. Step 3: Cross multiply
    1,975x = 3,240.50 × 3,240.50
  4. Step 4: Simplify right side
    1,975x = 10,500,840.25
  5. Step 5: Solve for x
    x = 10,500,840.25/1,975
  6. Step 6: Final answer
    x = 5,316.88

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.