Home / 721-1,564

Finding the Third Proportional to 721 and 1,564

Calculator

Solution

The third proportional to 721 and 1,564 is: 3,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    721 : 1,564 = 1,564 : x
  2. Step 2: Convert to fraction form
    721/1,564 = 1,564/x
  3. Step 3: Cross multiply
    721x = 1,564 × 1,564
  4. Step 4: Simplify right side
    721x = 2,446,096
  5. Step 5: Solve for x
    x = 2,446,096/721
  6. Step 6: Final answer
    x = 3,392.64

Related Problems

Find third proportional to 360.50 and 782
Half scale
Find third proportional to 1,442 and 3,128
Double scale
Find third proportional to 723 and 1,568
Similar ratio
Find third proportional to 1,081.50 and 2,346
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.