Home / 512.63-824.06

Finding the Third Proportional to 512.63 and 824.06

Calculator

Solution

The third proportional to 512.63 and 824.06 is: 1,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.63 : 824.06 = 824.06 : x
  2. Step 2: Convert to fraction form
    512.63/824.06 = 824.06/x
  3. Step 3: Cross multiply
    512.63x = 824.06 × 824.06
  4. Step 4: Simplify right side
    512.63x = 679,079.00
  5. Step 5: Solve for x
    x = 679,079.00/512.63
  6. Step 6: Final answer
    x = 1,324.71

Related Problems

Find third proportional to 256.31 and 412.03
Half scale
Find third proportional to 1,025.25 and 1,648.13
Double scale
Find third proportional to 515 and 827
Similar ratio
Find third proportional to 768.94 and 1,236.09
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.