Home / 464-706

Finding the Third Proportional to 464 and 706

Calculator

Solution

The third proportional to 464 and 706 is: 1,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464 : 706 = 706 : x
  2. Step 2: Convert to fraction form
    464/706 = 706/x
  3. Step 3: Cross multiply
    464x = 706 × 706
  4. Step 4: Simplify right side
    464x = 498,436
  5. Step 5: Solve for x
    x = 498,436/464
  6. Step 6: Final answer
    x = 1,074.22

Related Problems

Find third proportional to 232 and 353
Half scale
Find third proportional to 928 and 1,412
Double scale
Find third proportional to 466 and 709
Similar ratio
Find third proportional to 696 and 1,059
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.