Home / 1,782-2,772

Finding the Third Proportional to 1,782 and 2,772

Calculator

Solution

The third proportional to 1,782 and 2,772 is: 4,312

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782 : 2,772 = 2,772 : x
  2. Step 2: Convert to fraction form
    1,782/2,772 = 2,772/x
  3. Step 3: Cross multiply
    1,782x = 2,772 × 2,772
  4. Step 4: Simplify right side
    1,782x = 7,683,984
  5. Step 5: Solve for x
    x = 7,683,984/1,782
  6. Step 6: Final answer
    x = 4,312

Related Problems

Find third proportional to 891 and 1,386
Half scale
Find third proportional to 3,564 and 5,544
Double scale
Find third proportional to 1,784 and 2,775
Similar ratio
Find third proportional to 2,673 and 4,158
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.