Home / 746.30-767.81

Finding the Third Proportional to 746.30 and 767.81

Calculator

Solution

The third proportional to 746.30 and 767.81 is: 789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.30 : 767.81 = 767.81 : x
  2. Step 2: Convert to fraction form
    746.30/767.81 = 767.81/x
  3. Step 3: Cross multiply
    746.30x = 767.81 × 767.81
  4. Step 4: Simplify right side
    746.30x = 589,536.04
  5. Step 5: Solve for x
    x = 589,536.04/746.30
  6. Step 6: Final answer
    x = 789.95

Related Problems

Find third proportional to 373.15 and 383.91
Half scale
Find third proportional to 1,492.59 and 1,535.63
Double scale
Find third proportional to 748 and 770
Similar ratio
Find third proportional to 1,119.45 and 1,151.72
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.