Home / 456-862

Finding the Third Proportional to 456 and 862

Calculator

Solution

The third proportional to 456 and 862 is: 1,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 862 = 862 : x
  2. Step 2: Convert to fraction form
    456/862 = 862/x
  3. Step 3: Cross multiply
    456x = 862 × 862
  4. Step 4: Simplify right side
    456x = 743,044
  5. Step 5: Solve for x
    x = 743,044/456
  6. Step 6: Final answer
    x = 1,629.48

Related Problems

Find third proportional to 228 and 431
Half scale
Find third proportional to 912 and 1,724
Double scale
Find third proportional to 458 and 866
Similar ratio
Find third proportional to 684 and 1,293
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.