Home / 752-1,680

Finding the Third Proportional to 752 and 1,680

Calculator

Solution

The third proportional to 752 and 1,680 is: 3,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    752 : 1,680 = 1,680 : x
  2. Step 2: Convert to fraction form
    752/1,680 = 1,680/x
  3. Step 3: Cross multiply
    752x = 1,680 × 1,680
  4. Step 4: Simplify right side
    752x = 2,822,400
  5. Step 5: Solve for x
    x = 2,822,400/752
  6. Step 6: Final answer
    x = 3,753.19

Related Problems

Find third proportional to 376 and 840
Half scale
Find third proportional to 1,504 and 3,360
Double scale
Find third proportional to 754 and 1,684
Similar ratio
Find third proportional to 1,128 and 2,520
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.