Home / 1,262-1,680

Finding the Third Proportional to 1,262 and 1,680

Calculator

Solution

The third proportional to 1,262 and 1,680 is: 2,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262 : 1,680 = 1,680 : x
  2. Step 2: Convert to fraction form
    1,262/1,680 = 1,680/x
  3. Step 3: Cross multiply
    1,262x = 1,680 × 1,680
  4. Step 4: Simplify right side
    1,262x = 2,822,400
  5. Step 5: Solve for x
    x = 2,822,400/1,262
  6. Step 6: Final answer
    x = 2,236.45

Related Problems

Find third proportional to 631 and 840
Half scale
Find third proportional to 2,524 and 3,360
Double scale
Find third proportional to 1,264 and 1,683
Similar ratio
Find third proportional to 1,893 and 2,520
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.