Home / 2,258-2,458

Finding the Third Proportional to 2,258 and 2,458

Calculator

Solution

The third proportional to 2,258 and 2,458 is: 2,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258 : 2,458 = 2,458 : x
  2. Step 2: Convert to fraction form
    2,258/2,458 = 2,458/x
  3. Step 3: Cross multiply
    2,258x = 2,458 × 2,458
  4. Step 4: Simplify right side
    2,258x = 6,041,764
  5. Step 5: Solve for x
    x = 6,041,764/2,258
  6. Step 6: Final answer
    x = 2,675.71

Related Problems

Find third proportional to 1,129 and 1,229
Half scale
Find third proportional to 4,516 and 4,916
Double scale
Find third proportional to 2,260 and 2,460
Similar ratio
Find third proportional to 3,387 and 3,687
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.