Home / 7,210-7,850

Finding the Third Proportional to 7,210 and 7,850

Calculator

Solution

The third proportional to 7,210 and 7,850 is: 8,546.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210 : 7,850 = 7,850 : x
  2. Step 2: Convert to fraction form
    7,210/7,850 = 7,850/x
  3. Step 3: Cross multiply
    7,210x = 7,850 × 7,850
  4. Step 4: Simplify right side
    7,210x = 61,622,500
  5. Step 5: Solve for x
    x = 61,622,500/7,210
  6. Step 6: Final answer
    x = 8,546.81

Related Problems

Find third proportional to 3,605 and 3,925
Half scale
Find third proportional to 14,420 and 15,700
Double scale
Find third proportional to 7,212 and 7,852
Similar ratio
Find third proportional to 10,815 and 11,775
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.