Home / 663-712

Finding the Third Proportional to 663 and 712

Calculator

Solution

The third proportional to 663 and 712 is: 764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    663 : 712 = 712 : x
  2. Step 2: Convert to fraction form
    663/712 = 712/x
  3. Step 3: Cross multiply
    663x = 712 × 712
  4. Step 4: Simplify right side
    663x = 506,944
  5. Step 5: Solve for x
    x = 506,944/663
  6. Step 6: Final answer
    x = 764.62

Related Problems

Find third proportional to 331.50 and 356
Half scale
Find third proportional to 1,326 and 1,424
Double scale
Find third proportional to 665 and 714
Similar ratio
Find third proportional to 994.50 and 1,068
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.