Home / 978-1,742

Finding the Third Proportional to 978 and 1,742

Calculator

Solution

The third proportional to 978 and 1,742 is: 3,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    978 : 1,742 = 1,742 : x
  2. Step 2: Convert to fraction form
    978/1,742 = 1,742/x
  3. Step 3: Cross multiply
    978x = 1,742 × 1,742
  4. Step 4: Simplify right side
    978x = 3,034,564
  5. Step 5: Solve for x
    x = 3,034,564/978
  6. Step 6: Final answer
    x = 3,102.83

Related Problems

Find third proportional to 489 and 871
Half scale
Find third proportional to 1,956 and 3,484
Double scale
Find third proportional to 980 and 1,746
Similar ratio
Find third proportional to 1,467 and 2,613
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.