Home / 776-1,680

Finding the Third Proportional to 776 and 1,680

Calculator

Solution

The third proportional to 776 and 1,680 is: 3,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    776 : 1,680 = 1,680 : x
  2. Step 2: Convert to fraction form
    776/1,680 = 1,680/x
  3. Step 3: Cross multiply
    776x = 1,680 × 1,680
  4. Step 4: Simplify right side
    776x = 2,822,400
  5. Step 5: Solve for x
    x = 2,822,400/776
  6. Step 6: Final answer
    x = 3,637.11

Related Problems

Find third proportional to 388 and 840
Half scale
Find third proportional to 1,552 and 3,360
Double scale
Find third proportional to 778 and 1,684
Similar ratio
Find third proportional to 1,164 and 2,520
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.