Home / 452-680

Finding the Third Proportional to 452 and 680

Calculator

Solution

The third proportional to 452 and 680 is: 1,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    452 : 680 = 680 : x
  2. Step 2: Convert to fraction form
    452/680 = 680/x
  3. Step 3: Cross multiply
    452x = 680 × 680
  4. Step 4: Simplify right side
    452x = 462,400
  5. Step 5: Solve for x
    x = 462,400/452
  6. Step 6: Final answer
    x = 1,023.01

Related Problems

Find third proportional to 226 and 340
Half scale
Find third proportional to 904 and 1,360
Double scale
Find third proportional to 454 and 683
Similar ratio
Find third proportional to 678 and 1,020
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.