Home / 727.50-1,022.25

Finding the Third Proportional to 727.50 and 1,022.25

Calculator

Solution

The third proportional to 727.50 and 1,022.25 is: 1,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.50 : 1,022.25 = 1,022.25 : x
  2. Step 2: Convert to fraction form
    727.50/1,022.25 = 1,022.25/x
  3. Step 3: Cross multiply
    727.50x = 1,022.25 × 1,022.25
  4. Step 4: Simplify right side
    727.50x = 1,044,995.06
  5. Step 5: Solve for x
    x = 1,044,995.06/727.50
  6. Step 6: Final answer
    x = 1,436.42

Related Problems

Find third proportional to 363.75 and 511.13
Half scale
Find third proportional to 1,455 and 2,044.50
Double scale
Find third proportional to 730 and 1,025
Similar ratio
Find third proportional to 1,091.25 and 1,533.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.