Home / 542.25-809.63

Finding the Third Proportional to 542.25 and 809.63

Calculator

Solution

The third proportional to 542.25 and 809.63 is: 1,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.25 : 809.63 = 809.63 : x
  2. Step 2: Convert to fraction form
    542.25/809.63 = 809.63/x
  3. Step 3: Cross multiply
    542.25x = 809.63 × 809.63
  4. Step 4: Simplify right side
    542.25x = 655,492.64
  5. Step 5: Solve for x
    x = 655,492.64/542.25
  6. Step 6: Final answer
    x = 1,208.84

Related Problems

Find third proportional to 271.13 and 404.81
Half scale
Find third proportional to 1,084.50 and 1,619.25
Double scale
Find third proportional to 544 and 813
Similar ratio
Find third proportional to 813.38 and 1,214.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.