Home / 486-680

Finding the Third Proportional to 486 and 680

Calculator

Solution

The third proportional to 486 and 680 is: 951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    486 : 680 = 680 : x
  2. Step 2: Convert to fraction form
    486/680 = 680/x
  3. Step 3: Cross multiply
    486x = 680 × 680
  4. Step 4: Simplify right side
    486x = 462,400
  5. Step 5: Solve for x
    x = 462,400/486
  6. Step 6: Final answer
    x = 951.44

Related Problems

Find third proportional to 243 and 340
Half scale
Find third proportional to 972 and 1,360
Double scale
Find third proportional to 488 and 683
Similar ratio
Find third proportional to 729 and 1,020
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.