Home / 755-854

Finding the Third Proportional to 755 and 854

Calculator

Solution

The third proportional to 755 and 854 is: 965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    755 : 854 = 854 : x
  2. Step 2: Convert to fraction form
    755/854 = 854/x
  3. Step 3: Cross multiply
    755x = 854 × 854
  4. Step 4: Simplify right side
    755x = 729,316
  5. Step 5: Solve for x
    x = 729,316/755
  6. Step 6: Final answer
    x = 965.98

Related Problems

Find third proportional to 377.50 and 427
Half scale
Find third proportional to 1,510 and 1,708
Double scale
Find third proportional to 757 and 856
Similar ratio
Find third proportional to 1,132.50 and 1,281
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.