Home / 7,724-8,460

Finding the Third Proportional to 7,724 and 8,460

Calculator

Solution

The third proportional to 7,724 and 8,460 is: 9,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724 : 8,460 = 8,460 : x
  2. Step 2: Convert to fraction form
    7,724/8,460 = 8,460/x
  3. Step 3: Cross multiply
    7,724x = 8,460 × 8,460
  4. Step 4: Simplify right side
    7,724x = 71,571,600
  5. Step 5: Solve for x
    x = 71,571,600/7,724
  6. Step 6: Final answer
    x = 9,266.13

Related Problems

Find third proportional to 3,862 and 4,230
Half scale
Find third proportional to 15,448 and 16,920
Double scale
Find third proportional to 7,726 and 8,462
Similar ratio
Find third proportional to 11,586 and 12,690
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.