Home / 540.50-826

Finding the Third Proportional to 540.50 and 826

Calculator

Solution

The third proportional to 540.50 and 826 is: 1,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.50 : 826 = 826 : x
  2. Step 2: Convert to fraction form
    540.50/826 = 826/x
  3. Step 3: Cross multiply
    540.50x = 826 × 826
  4. Step 4: Simplify right side
    540.50x = 682,276
  5. Step 5: Solve for x
    x = 682,276/540.50
  6. Step 6: Final answer
    x = 1,262.31

Related Problems

Find third proportional to 270.25 and 413
Half scale
Find third proportional to 1,081 and 1,652
Double scale
Find third proportional to 543 and 829
Similar ratio
Find third proportional to 810.75 and 1,239
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.