Home / 259-586

Finding the Third Proportional to 259 and 586

Calculator

Solution

The third proportional to 259 and 586 is: 1,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 586 = 586 : x
  2. Step 2: Convert to fraction form
    259/586 = 586/x
  3. Step 3: Cross multiply
    259x = 586 × 586
  4. Step 4: Simplify right side
    259x = 343,396
  5. Step 5: Solve for x
    x = 343,396/259
  6. Step 6: Final answer
    x = 1,325.85

Related Problems

Find third proportional to 129.50 and 293
Half scale
Find third proportional to 518 and 1,172
Double scale
Find third proportional to 261 and 591
Similar ratio
Find third proportional to 388.50 and 879
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.