Home / 706-1,564

Finding the Third Proportional to 706 and 1,564

Calculator

Solution

The third proportional to 706 and 1,564 is: 3,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    706 : 1,564 = 1,564 : x
  2. Step 2: Convert to fraction form
    706/1,564 = 1,564/x
  3. Step 3: Cross multiply
    706x = 1,564 × 1,564
  4. Step 4: Simplify right side
    706x = 2,446,096
  5. Step 5: Solve for x
    x = 2,446,096/706
  6. Step 6: Final answer
    x = 3,464.73

Related Problems

Find third proportional to 353 and 782
Half scale
Find third proportional to 1,412 and 3,128
Double scale
Find third proportional to 708 and 1,568
Similar ratio
Find third proportional to 1,059 and 2,346
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.