Home / 712-1,824

Finding the Third Proportional to 712 and 1,824

Calculator

Solution

The third proportional to 712 and 1,824 is: 4,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    712 : 1,824 = 1,824 : x
  2. Step 2: Convert to fraction form
    712/1,824 = 1,824/x
  3. Step 3: Cross multiply
    712x = 1,824 × 1,824
  4. Step 4: Simplify right side
    712x = 3,326,976
  5. Step 5: Solve for x
    x = 3,326,976/712
  6. Step 6: Final answer
    x = 4,672.72

Related Problems

Find third proportional to 356 and 912
Half scale
Find third proportional to 1,424 and 3,648
Double scale
Find third proportional to 714 and 1,829
Similar ratio
Find third proportional to 1,068 and 2,736
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.