Home / 7,658-8,450

Finding the Third Proportional to 7,658 and 8,450

Calculator

Solution

The third proportional to 7,658 and 8,450 is: 9,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658 : 8,450 = 8,450 : x
  2. Step 2: Convert to fraction form
    7,658/8,450 = 8,450/x
  3. Step 3: Cross multiply
    7,658x = 8,450 × 8,450
  4. Step 4: Simplify right side
    7,658x = 71,402,500
  5. Step 5: Solve for x
    x = 71,402,500/7,658
  6. Step 6: Final answer
    x = 9,323.91

Related Problems

Find third proportional to 3,829 and 4,225
Half scale
Find third proportional to 15,316 and 16,900
Double scale
Find third proportional to 7,660 and 8,452
Similar ratio
Find third proportional to 11,487 and 12,675
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.