Home / 512-706

Finding the Third Proportional to 512 and 706

Calculator

Solution

The third proportional to 512 and 706 is: 973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512 : 706 = 706 : x
  2. Step 2: Convert to fraction form
    512/706 = 706/x
  3. Step 3: Cross multiply
    512x = 706 × 706
  4. Step 4: Simplify right side
    512x = 498,436
  5. Step 5: Solve for x
    x = 498,436/512
  6. Step 6: Final answer
    x = 973.51

Related Problems

Find third proportional to 256 and 353
Half scale
Find third proportional to 1,024 and 1,412
Double scale
Find third proportional to 514 and 709
Similar ratio
Find third proportional to 768 and 1,059
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.