Home / 135,954-293,742

Finding the Third Proportional to 135,954 and 293,742

Calculator

Solution

The third proportional to 135,954 and 293,742 is: 634,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,954 : 293,742 = 293,742 : x
  2. Step 2: Convert to fraction form
    135,954/293,742 = 293,742/x
  3. Step 3: Cross multiply
    135,954x = 293,742 × 293,742
  4. Step 4: Simplify right side
    135,954x = 86,284,362,564
  5. Step 5: Solve for x
    x = 86,284,362,564/135,954
  6. Step 6: Final answer
    x = 634,658.51

Related Problems

Find third proportional to 67,977 and 146,871
Half scale
Find third proportional to 271,908 and 587,484
Double scale
Find third proportional to 135,956 and 293,746
Similar ratio
Find third proportional to 203,931 and 440,613
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.