Home / 6,385-13,706

Finding the Third Proportional to 6,385 and 13,706

Calculator

Solution

The third proportional to 6,385 and 13,706 is: 29,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385 : 13,706 = 13,706 : x
  2. Step 2: Convert to fraction form
    6,385/13,706 = 13,706/x
  3. Step 3: Cross multiply
    6,385x = 13,706 × 13,706
  4. Step 4: Simplify right side
    6,385x = 187,854,436
  5. Step 5: Solve for x
    x = 187,854,436/6,385
  6. Step 6: Final answer
    x = 29,421.21

Related Problems

Find third proportional to 3,192.50 and 6,853
Half scale
Find third proportional to 12,770 and 27,412
Double scale
Find third proportional to 6,387 and 13,710
Similar ratio
Find third proportional to 9,577.50 and 20,559
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.