Home / 524-824

Finding the Third Proportional to 524 and 824

Calculator

Solution

The third proportional to 524 and 824 is: 1,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    524 : 824 = 824 : x
  2. Step 2: Convert to fraction form
    524/824 = 824/x
  3. Step 3: Cross multiply
    524x = 824 × 824
  4. Step 4: Simplify right side
    524x = 678,976
  5. Step 5: Solve for x
    x = 678,976/524
  6. Step 6: Final answer
    x = 1,295.76

Related Problems

Find third proportional to 262 and 412
Half scale
Find third proportional to 1,048 and 1,648
Double scale
Find third proportional to 526 and 827
Similar ratio
Find third proportional to 786 and 1,236
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.