Home / 545,824-827,216

Finding the Third Proportional to 545,824 and 827,216

Calculator

Solution

The third proportional to 545,824 and 827,216 is: 1,253,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,824 : 827,216 = 827,216 : x
  2. Step 2: Convert to fraction form
    545,824/827,216 = 827,216/x
  3. Step 3: Cross multiply
    545,824x = 827,216 × 827,216
  4. Step 4: Simplify right side
    545,824x = 684,286,310,656
  5. Step 5: Solve for x
    x = 684,286,310,656/545,824
  6. Step 6: Final answer
    x = 1,253,675.75

Related Problems

Find third proportional to 272,912 and 413,608
Half scale
Find third proportional to 1,091,648 and 1,654,432
Double scale
Find third proportional to 545,826 and 827,219
Similar ratio
Find third proportional to 818,736 and 1,240,824
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.