Home / 1,565-3,234

Finding the Third Proportional to 1,565 and 3,234

Calculator

Solution

The third proportional to 1,565 and 3,234 is: 6,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565 : 3,234 = 3,234 : x
  2. Step 2: Convert to fraction form
    1,565/3,234 = 3,234/x
  3. Step 3: Cross multiply
    1,565x = 3,234 × 3,234
  4. Step 4: Simplify right side
    1,565x = 10,458,756
  5. Step 5: Solve for x
    x = 10,458,756/1,565
  6. Step 6: Final answer
    x = 6,682.91

Related Problems

Find third proportional to 782.50 and 1,617
Half scale
Find third proportional to 3,130 and 6,468
Double scale
Find third proportional to 1,567 and 3,238
Similar ratio
Find third proportional to 2,347.50 and 4,851
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.