Home / 356.91-523.97

Finding the Third Proportional to 356.91 and 523.97

Calculator

Solution

The third proportional to 356.91 and 523.97 is: 769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.91 : 523.97 = 523.97 : x
  2. Step 2: Convert to fraction form
    356.91/523.97 = 523.97/x
  3. Step 3: Cross multiply
    356.91x = 523.97 × 523.97
  4. Step 4: Simplify right side
    356.91x = 274,543.25
  5. Step 5: Solve for x
    x = 274,543.25/356.91
  6. Step 6: Final answer
    x = 769.23

Related Problems

Find third proportional to 178.45 and 261.98
Half scale
Find third proportional to 713.81 and 1,047.94
Double scale
Find third proportional to 359 and 527
Similar ratio
Find third proportional to 535.36 and 785.95
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.