Home / 2,258-2,586

Finding the Third Proportional to 2,258 and 2,586

Calculator

Solution

The third proportional to 2,258 and 2,586 is: 2,961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258 : 2,586 = 2,586 : x
  2. Step 2: Convert to fraction form
    2,258/2,586 = 2,586/x
  3. Step 3: Cross multiply
    2,258x = 2,586 × 2,586
  4. Step 4: Simplify right side
    2,258x = 6,687,396
  5. Step 5: Solve for x
    x = 6,687,396/2,258
  6. Step 6: Final answer
    x = 2,961.65

Related Problems

Find third proportional to 1,129 and 1,293
Half scale
Find third proportional to 4,516 and 5,172
Double scale
Find third proportional to 2,260 and 2,588
Similar ratio
Find third proportional to 3,387 and 3,879
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.