Home / 624-686

Finding the Third Proportional to 624 and 686

Calculator

Solution

The third proportional to 624 and 686 is: 754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    624 : 686 = 686 : x
  2. Step 2: Convert to fraction form
    624/686 = 686/x
  3. Step 3: Cross multiply
    624x = 686 × 686
  4. Step 4: Simplify right side
    624x = 470,596
  5. Step 5: Solve for x
    x = 470,596/624
  6. Step 6: Final answer
    x = 754.16

Related Problems

Find third proportional to 312 and 343
Half scale
Find third proportional to 1,248 and 1,372
Double scale
Find third proportional to 626 and 688
Similar ratio
Find third proportional to 936 and 1,029
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.