Home / 784-854

Finding the Third Proportional to 784 and 854

Calculator

Solution

The third proportional to 784 and 854 is: 930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    784 : 854 = 854 : x
  2. Step 2: Convert to fraction form
    784/854 = 854/x
  3. Step 3: Cross multiply
    784x = 854 × 854
  4. Step 4: Simplify right side
    784x = 729,316
  5. Step 5: Solve for x
    x = 729,316/784
  6. Step 6: Final answer
    x = 930.25

Related Problems

Find third proportional to 392 and 427
Half scale
Find third proportional to 1,568 and 1,708
Double scale
Find third proportional to 786 and 856
Similar ratio
Find third proportional to 1,176 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.