Home / 505-723.50

Finding the Third Proportional to 505 and 723.50

Calculator

Solution

The third proportional to 505 and 723.50 is: 1,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505 : 723.50 = 723.50 : x
  2. Step 2: Convert to fraction form
    505/723.50 = 723.50/x
  3. Step 3: Cross multiply
    505x = 723.50 × 723.50
  4. Step 4: Simplify right side
    505x = 523,452.25
  5. Step 5: Solve for x
    x = 523,452.25/505
  6. Step 6: Final answer
    x = 1,036.54

Related Problems

Find third proportional to 252.50 and 361.75
Half scale
Find third proportional to 1,010 and 1,447
Double scale
Find third proportional to 507 and 726
Similar ratio
Find third proportional to 757.50 and 1,085.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.