Home / 6,146-11,566

Finding the Third Proportional to 6,146 and 11,566

Calculator

Solution

The third proportional to 6,146 and 11,566 is: 21,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146 : 11,566 = 11,566 : x
  2. Step 2: Convert to fraction form
    6,146/11,566 = 11,566/x
  3. Step 3: Cross multiply
    6,146x = 11,566 × 11,566
  4. Step 4: Simplify right side
    6,146x = 133,772,356
  5. Step 5: Solve for x
    x = 133,772,356/6,146
  6. Step 6: Final answer
    x = 21,765.76

Related Problems

Find third proportional to 3,073 and 5,783
Half scale
Find third proportional to 12,292 and 23,132
Double scale
Find third proportional to 6,148 and 11,570
Similar ratio
Find third proportional to 9,219 and 17,349
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.