Home / 484-685

Finding the Third Proportional to 484 and 685

Calculator

Solution

The third proportional to 484 and 685 is: 969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    484 : 685 = 685 : x
  2. Step 2: Convert to fraction form
    484/685 = 685/x
  3. Step 3: Cross multiply
    484x = 685 × 685
  4. Step 4: Simplify right side
    484x = 469,225
  5. Step 5: Solve for x
    x = 469,225/484
  6. Step 6: Final answer
    x = 969.47

Related Problems

Find third proportional to 242 and 342.50
Half scale
Find third proportional to 968 and 1,370
Double scale
Find third proportional to 486 and 688
Similar ratio
Find third proportional to 726 and 1,027.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.