Home / 1,597-1,741

Finding the Third Proportional to 1,597 and 1,741

Calculator

Solution

The third proportional to 1,597 and 1,741 is: 1,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597 : 1,741 = 1,741 : x
  2. Step 2: Convert to fraction form
    1,597/1,741 = 1,741/x
  3. Step 3: Cross multiply
    1,597x = 1,741 × 1,741
  4. Step 4: Simplify right side
    1,597x = 3,031,081
  5. Step 5: Solve for x
    x = 3,031,081/1,597
  6. Step 6: Final answer
    x = 1,897.98

Related Problems

Find third proportional to 798.50 and 870.50
Half scale
Find third proportional to 3,194 and 3,482
Double scale
Find third proportional to 1,599 and 1,743
Similar ratio
Find third proportional to 2,395.50 and 2,611.50
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.