Home / 2,971-6,446

Finding the Third Proportional to 2,971 and 6,446

Calculator

Solution

The third proportional to 2,971 and 6,446 is: 13,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971 : 6,446 = 6,446 : x
  2. Step 2: Convert to fraction form
    2,971/6,446 = 6,446/x
  3. Step 3: Cross multiply
    2,971x = 6,446 × 6,446
  4. Step 4: Simplify right side
    2,971x = 41,550,916
  5. Step 5: Solve for x
    x = 41,550,916/2,971
  6. Step 6: Final answer
    x = 13,985.50

Related Problems

Find third proportional to 1,485.50 and 3,223
Half scale
Find third proportional to 5,942 and 12,892
Double scale
Find third proportional to 2,973 and 6,450
Similar ratio
Find third proportional to 4,456.50 and 9,669
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.