Home / 373-686

Finding the Third Proportional to 373 and 686

Calculator

Solution

The third proportional to 373 and 686 is: 1,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    373 : 686 = 686 : x
  2. Step 2: Convert to fraction form
    373/686 = 686/x
  3. Step 3: Cross multiply
    373x = 686 × 686
  4. Step 4: Simplify right side
    373x = 470,596
  5. Step 5: Solve for x
    x = 470,596/373
  6. Step 6: Final answer
    x = 1,261.65

Related Problems

Find third proportional to 186.50 and 343
Half scale
Find third proportional to 746 and 1,372
Double scale
Find third proportional to 375 and 690
Similar ratio
Find third proportional to 559.50 and 1,029
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.