Home / 192.75-523.50

Finding the Third Proportional to 192.75 and 523.50

Calculator

Solution

The third proportional to 192.75 and 523.50 is: 1,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.75 : 523.50 = 523.50 : x
  2. Step 2: Convert to fraction form
    192.75/523.50 = 523.50/x
  3. Step 3: Cross multiply
    192.75x = 523.50 × 523.50
  4. Step 4: Simplify right side
    192.75x = 274,052.25
  5. Step 5: Solve for x
    x = 274,052.25/192.75
  6. Step 6: Final answer
    x = 1,421.80

Related Problems

Find third proportional to 96.38 and 261.75
Half scale
Find third proportional to 385.50 and 1,047
Double scale
Find third proportional to 195 and 529
Similar ratio
Find third proportional to 289.13 and 785.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.