Home / 651-712

Finding the Third Proportional to 651 and 712

Calculator

Solution

The third proportional to 651 and 712 is: 778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    651 : 712 = 712 : x
  2. Step 2: Convert to fraction form
    651/712 = 712/x
  3. Step 3: Cross multiply
    651x = 712 × 712
  4. Step 4: Simplify right side
    651x = 506,944
  5. Step 5: Solve for x
    x = 506,944/651
  6. Step 6: Final answer
    x = 778.72

Related Problems

Find third proportional to 325.50 and 356
Half scale
Find third proportional to 1,302 and 1,424
Double scale
Find third proportional to 653 and 714
Similar ratio
Find third proportional to 976.50 and 1,068
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.