Home / 1,588-1,742

Finding the Third Proportional to 1,588 and 1,742

Calculator

Solution

The third proportional to 1,588 and 1,742 is: 1,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588 : 1,742 = 1,742 : x
  2. Step 2: Convert to fraction form
    1,588/1,742 = 1,742/x
  3. Step 3: Cross multiply
    1,588x = 1,742 × 1,742
  4. Step 4: Simplify right side
    1,588x = 3,034,564
  5. Step 5: Solve for x
    x = 3,034,564/1,588
  6. Step 6: Final answer
    x = 1,910.93

Related Problems

Find third proportional to 794 and 871
Half scale
Find third proportional to 3,176 and 3,484
Double scale
Find third proportional to 1,590 and 1,744
Similar ratio
Find third proportional to 2,382 and 2,613
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.