Home / 1,558-1,702

Finding the Third Proportional to 1,558 and 1,702

Calculator

Solution

The third proportional to 1,558 and 1,702 is: 1,859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558 : 1,702 = 1,702 : x
  2. Step 2: Convert to fraction form
    1,558/1,702 = 1,702/x
  3. Step 3: Cross multiply
    1,558x = 1,702 × 1,702
  4. Step 4: Simplify right side
    1,558x = 2,896,804
  5. Step 5: Solve for x
    x = 2,896,804/1,558
  6. Step 6: Final answer
    x = 1,859.31

Related Problems

Find third proportional to 779 and 851
Half scale
Find third proportional to 3,116 and 3,404
Double scale
Find third proportional to 1,560 and 1,704
Similar ratio
Find third proportional to 2,337 and 2,553
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.