Home / 724.50-1,102.75

Finding the Third Proportional to 724.50 and 1,102.75

Calculator

Solution

The third proportional to 724.50 and 1,102.75 is: 1,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.50 : 1,102.75 = 1,102.75 : x
  2. Step 2: Convert to fraction form
    724.50/1,102.75 = 1,102.75/x
  3. Step 3: Cross multiply
    724.50x = 1,102.75 × 1,102.75
  4. Step 4: Simplify right side
    724.50x = 1,216,057.56
  5. Step 5: Solve for x
    x = 1,216,057.56/724.50
  6. Step 6: Final answer
    x = 1,678.48

Related Problems

Find third proportional to 362.25 and 551.38
Half scale
Find third proportional to 1,449 and 2,205.50
Double scale
Find third proportional to 727 and 1,106
Similar ratio
Find third proportional to 1,086.75 and 1,654.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.