Home / 803-1,782

Finding the Third Proportional to 803 and 1,782

Calculator

Solution

The third proportional to 803 and 1,782 is: 3,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    803 : 1,782 = 1,782 : x
  2. Step 2: Convert to fraction form
    803/1,782 = 1,782/x
  3. Step 3: Cross multiply
    803x = 1,782 × 1,782
  4. Step 4: Simplify right side
    803x = 3,175,524
  5. Step 5: Solve for x
    x = 3,175,524/803
  6. Step 6: Final answer
    x = 3,954.58

Related Problems

Find third proportional to 401.50 and 891
Half scale
Find third proportional to 1,606 and 3,564
Double scale
Find third proportional to 805 and 1,786
Similar ratio
Find third proportional to 1,204.50 and 2,673
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.