Home / 906-1,742

Finding the Third Proportional to 906 and 1,742

Calculator

Solution

The third proportional to 906 and 1,742 is: 3,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    906 : 1,742 = 1,742 : x
  2. Step 2: Convert to fraction form
    906/1,742 = 1,742/x
  3. Step 3: Cross multiply
    906x = 1,742 × 1,742
  4. Step 4: Simplify right side
    906x = 3,034,564
  5. Step 5: Solve for x
    x = 3,034,564/906
  6. Step 6: Final answer
    x = 3,349.41

Related Problems

Find third proportional to 453 and 871
Half scale
Find third proportional to 1,812 and 3,484
Double scale
Find third proportional to 908 and 1,746
Similar ratio
Find third proportional to 1,359 and 2,613
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.