Home / 787-854

Finding the Third Proportional to 787 and 854

Calculator

Solution

The third proportional to 787 and 854 is: 926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    787 : 854 = 854 : x
  2. Step 2: Convert to fraction form
    787/854 = 854/x
  3. Step 3: Cross multiply
    787x = 854 × 854
  4. Step 4: Simplify right side
    787x = 729,316
  5. Step 5: Solve for x
    x = 729,316/787
  6. Step 6: Final answer
    x = 926.70

Related Problems

Find third proportional to 393.50 and 427
Half scale
Find third proportional to 1,574 and 1,708
Double scale
Find third proportional to 789 and 856
Similar ratio
Find third proportional to 1,180.50 and 1,281
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.