Home / 601-685

Finding the Third Proportional to 601 and 685

Calculator

Solution

The third proportional to 601 and 685 is: 780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601 : 685 = 685 : x
  2. Step 2: Convert to fraction form
    601/685 = 685/x
  3. Step 3: Cross multiply
    601x = 685 × 685
  4. Step 4: Simplify right side
    601x = 469,225
  5. Step 5: Solve for x
    x = 469,225/601
  6. Step 6: Final answer
    x = 780.74

Related Problems

Find third proportional to 300.50 and 342.50
Half scale
Find third proportional to 1,202 and 1,370
Double scale
Find third proportional to 603 and 687
Similar ratio
Find third proportional to 901.50 and 1,027.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.