Home / 782-854

Finding the Third Proportional to 782 and 854

Calculator

Solution

The third proportional to 782 and 854 is: 932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    782 : 854 = 854 : x
  2. Step 2: Convert to fraction form
    782/854 = 854/x
  3. Step 3: Cross multiply
    782x = 854 × 854
  4. Step 4: Simplify right side
    782x = 729,316
  5. Step 5: Solve for x
    x = 729,316/782
  6. Step 6: Final answer
    x = 932.63

Related Problems

Find third proportional to 391 and 427
Half scale
Find third proportional to 1,564 and 1,708
Double scale
Find third proportional to 784 and 856
Similar ratio
Find third proportional to 1,173 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.