Home / 1,647-3,972.50

Finding the Third Proportional to 1,647 and 3,972.50

Calculator

Solution

The third proportional to 1,647 and 3,972.50 is: 9,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647 : 3,972.50 = 3,972.50 : x
  2. Step 2: Convert to fraction form
    1,647/3,972.50 = 3,972.50/x
  3. Step 3: Cross multiply
    1,647x = 3,972.50 × 3,972.50
  4. Step 4: Simplify right side
    1,647x = 15,780,756.25
  5. Step 5: Solve for x
    x = 15,780,756.25/1,647
  6. Step 6: Final answer
    x = 9,581.52

Related Problems

Find third proportional to 823.50 and 1,986.25
Half scale
Find third proportional to 3,294 and 7,945
Double scale
Find third proportional to 1,649 and 3,977
Similar ratio
Find third proportional to 2,470.50 and 5,958.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.