Home / 1,056-1,680

Finding the Third Proportional to 1,056 and 1,680

Calculator

Solution

The third proportional to 1,056 and 1,680 is: 2,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056 : 1,680 = 1,680 : x
  2. Step 2: Convert to fraction form
    1,056/1,680 = 1,680/x
  3. Step 3: Cross multiply
    1,056x = 1,680 × 1,680
  4. Step 4: Simplify right side
    1,056x = 2,822,400
  5. Step 5: Solve for x
    x = 2,822,400/1,056
  6. Step 6: Final answer
    x = 2,672.73

Related Problems

Find third proportional to 528 and 840
Half scale
Find third proportional to 2,112 and 3,360
Double scale
Find third proportional to 1,058 and 1,683
Similar ratio
Find third proportional to 1,584 and 2,520
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.