Home / 6,516-7,944

Finding the Third Proportional to 6,516 and 7,944

Calculator

Solution

The third proportional to 6,516 and 7,944 is: 9,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516 : 7,944 = 7,944 : x
  2. Step 2: Convert to fraction form
    6,516/7,944 = 7,944/x
  3. Step 3: Cross multiply
    6,516x = 7,944 × 7,944
  4. Step 4: Simplify right side
    6,516x = 63,107,136
  5. Step 5: Solve for x
    x = 63,107,136/6,516
  6. Step 6: Final answer
    x = 9,684.95

Related Problems

Find third proportional to 3,258 and 3,972
Half scale
Find third proportional to 13,032 and 15,888
Double scale
Find third proportional to 6,518 and 7,946
Similar ratio
Find third proportional to 9,774 and 11,916
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.