Home / 6,194-14,309

Finding the Third Proportional to 6,194 and 14,309

Calculator

Solution

The third proportional to 6,194 and 14,309 is: 33,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194 : 14,309 = 14,309 : x
  2. Step 2: Convert to fraction form
    6,194/14,309 = 14,309/x
  3. Step 3: Cross multiply
    6,194x = 14,309 × 14,309
  4. Step 4: Simplify right side
    6,194x = 204,747,481
  5. Step 5: Solve for x
    x = 204,747,481/6,194
  6. Step 6: Final answer
    x = 33,055.78

Related Problems

Find third proportional to 3,097 and 7,154.50
Half scale
Find third proportional to 12,388 and 28,618
Double scale
Find third proportional to 6,196 and 14,314
Similar ratio
Find third proportional to 9,291 and 21,463.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.