Home / 1,557-1,695

Finding the Third Proportional to 1,557 and 1,695

Calculator

Solution

The third proportional to 1,557 and 1,695 is: 1,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557 : 1,695 = 1,695 : x
  2. Step 2: Convert to fraction form
    1,557/1,695 = 1,695/x
  3. Step 3: Cross multiply
    1,557x = 1,695 × 1,695
  4. Step 4: Simplify right side
    1,557x = 2,873,025
  5. Step 5: Solve for x
    x = 2,873,025/1,557
  6. Step 6: Final answer
    x = 1,845.23

Related Problems

Find third proportional to 778.50 and 847.50
Half scale
Find third proportional to 3,114 and 3,390
Double scale
Find third proportional to 1,559 and 1,697
Similar ratio
Find third proportional to 2,335.50 and 2,542.50
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.