Home / 6,392-7,832

Finding the Third Proportional to 6,392 and 7,832

Calculator

Solution

The third proportional to 6,392 and 7,832 is: 9,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392 : 7,832 = 7,832 : x
  2. Step 2: Convert to fraction form
    6,392/7,832 = 7,832/x
  3. Step 3: Cross multiply
    6,392x = 7,832 × 7,832
  4. Step 4: Simplify right side
    6,392x = 61,340,224
  5. Step 5: Solve for x
    x = 61,340,224/6,392
  6. Step 6: Final answer
    x = 9,596.41

Related Problems

Find third proportional to 3,196 and 3,916
Half scale
Find third proportional to 12,784 and 15,664
Double scale
Find third proportional to 6,394 and 7,834
Similar ratio
Find third proportional to 9,588 and 11,748
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.