Home / 710-1,564

Finding the Third Proportional to 710 and 1,564

Calculator

Solution

The third proportional to 710 and 1,564 is: 3,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    710 : 1,564 = 1,564 : x
  2. Step 2: Convert to fraction form
    710/1,564 = 1,564/x
  3. Step 3: Cross multiply
    710x = 1,564 × 1,564
  4. Step 4: Simplify right side
    710x = 2,446,096
  5. Step 5: Solve for x
    x = 2,446,096/710
  6. Step 6: Final answer
    x = 3,445.21

Related Problems

Find third proportional to 355 and 782
Half scale
Find third proportional to 1,420 and 3,128
Double scale
Find third proportional to 712 and 1,568
Similar ratio
Find third proportional to 1,065 and 2,346
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.