Home / 618.47-824.34

Finding the Third Proportional to 618.47 and 824.34

Calculator

Solution

The third proportional to 618.47 and 824.34 is: 1,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.47 : 824.34 = 824.34 : x
  2. Step 2: Convert to fraction form
    618.47/824.34 = 824.34/x
  3. Step 3: Cross multiply
    618.47x = 824.34 × 824.34
  4. Step 4: Simplify right side
    618.47x = 679,542.62
  5. Step 5: Solve for x
    x = 679,542.62/618.47
  6. Step 6: Final answer
    x = 1,098.75

Related Problems

Find third proportional to 309.23 and 412.17
Half scale
Find third proportional to 1,236.94 and 1,648.69
Double scale
Find third proportional to 620 and 827
Similar ratio
Find third proportional to 927.70 and 1,236.52
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.