Home / 5,258-6,870

Finding the Third Proportional to 5,258 and 6,870

Calculator

Solution

The third proportional to 5,258 and 6,870 is: 8,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258 : 6,870 = 6,870 : x
  2. Step 2: Convert to fraction form
    5,258/6,870 = 6,870/x
  3. Step 3: Cross multiply
    5,258x = 6,870 × 6,870
  4. Step 4: Simplify right side
    5,258x = 47,196,900
  5. Step 5: Solve for x
    x = 47,196,900/5,258
  6. Step 6: Final answer
    x = 8,976.21

Related Problems

Find third proportional to 2,629 and 3,435
Half scale
Find third proportional to 10,516 and 13,740
Double scale
Find third proportional to 5,260 and 6,873
Similar ratio
Find third proportional to 7,887 and 10,305
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.