Home / 6,856-14,344

Finding the Third Proportional to 6,856 and 14,344

Calculator

Solution

The third proportional to 6,856 and 14,344 is: 30,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856 : 14,344 = 14,344 : x
  2. Step 2: Convert to fraction form
    6,856/14,344 = 14,344/x
  3. Step 3: Cross multiply
    6,856x = 14,344 × 14,344
  4. Step 4: Simplify right side
    6,856x = 205,750,336
  5. Step 5: Solve for x
    x = 205,750,336/6,856
  6. Step 6: Final answer
    x = 30,010.26

Related Problems

Find third proportional to 3,428 and 7,172
Half scale
Find third proportional to 13,712 and 28,688
Double scale
Find third proportional to 6,858 and 14,348
Similar ratio
Find third proportional to 10,284 and 21,516
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.