Home / 3,525-6,978

Finding the Third Proportional to 3,525 and 6,978

Calculator

Solution

The third proportional to 3,525 and 6,978 is: 13,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525 : 6,978 = 6,978 : x
  2. Step 2: Convert to fraction form
    3,525/6,978 = 6,978/x
  3. Step 3: Cross multiply
    3,525x = 6,978 × 6,978
  4. Step 4: Simplify right side
    3,525x = 48,692,484
  5. Step 5: Solve for x
    x = 48,692,484/3,525
  6. Step 6: Final answer
    x = 13,813.47

Related Problems

Find third proportional to 1,762.50 and 3,489
Half scale
Find third proportional to 7,050 and 13,956
Double scale
Find third proportional to 3,527 and 6,982
Similar ratio
Find third proportional to 5,287.50 and 10,467
1.5x scale

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.