Home / 478-686

Finding the Third Proportional to 478 and 686

Calculator

Solution

The third proportional to 478 and 686 is: 984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    478 : 686 = 686 : x
  2. Step 2: Convert to fraction form
    478/686 = 686/x
  3. Step 3: Cross multiply
    478x = 686 × 686
  4. Step 4: Simplify right side
    478x = 470,596
  5. Step 5: Solve for x
    x = 470,596/478
  6. Step 6: Final answer
    x = 984.51

Related Problems

Find third proportional to 239 and 343
Half scale
Find third proportional to 956 and 1,372
Double scale
Find third proportional to 480 and 689
Similar ratio
Find third proportional to 717 and 1,029
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.