Home / 644-712

Finding the Third Proportional to 644 and 712

Calculator

Solution

The third proportional to 644 and 712 is: 787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    644 : 712 = 712 : x
  2. Step 2: Convert to fraction form
    644/712 = 712/x
  3. Step 3: Cross multiply
    644x = 712 × 712
  4. Step 4: Simplify right side
    644x = 506,944
  5. Step 5: Solve for x
    x = 506,944/644
  6. Step 6: Final answer
    x = 787.18

Related Problems

Find third proportional to 322 and 356
Half scale
Find third proportional to 1,288 and 1,424
Double scale
Find third proportional to 646 and 714
Similar ratio
Find third proportional to 966 and 1,068
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.