Home / 266-585

Finding the Third Proportional to 266 and 585

Calculator

Solution

The third proportional to 266 and 585 is: 1,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266 : 585 = 585 : x
  2. Step 2: Convert to fraction form
    266/585 = 585/x
  3. Step 3: Cross multiply
    266x = 585 × 585
  4. Step 4: Simplify right side
    266x = 342,225
  5. Step 5: Solve for x
    x = 342,225/266
  6. Step 6: Final answer
    x = 1,286.56

Related Problems

Find third proportional to 133 and 292.50
Half scale
Find third proportional to 532 and 1,170
Double scale
Find third proportional to 268 and 589
Similar ratio
Find third proportional to 399 and 877.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.