Home / 722.25-1,584

Finding the Third Proportional to 722.25 and 1,584

Calculator

Solution

The third proportional to 722.25 and 1,584 is: 3,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.25 : 1,584 = 1,584 : x
  2. Step 2: Convert to fraction form
    722.25/1,584 = 1,584/x
  3. Step 3: Cross multiply
    722.25x = 1,584 × 1,584
  4. Step 4: Simplify right side
    722.25x = 2,509,056
  5. Step 5: Solve for x
    x = 2,509,056/722.25
  6. Step 6: Final answer
    x = 3,473.94

Related Problems

Find third proportional to 361.13 and 792
Half scale
Find third proportional to 1,444.50 and 3,168
Double scale
Find third proportional to 724 and 1,588
Similar ratio
Find third proportional to 1,083.38 and 2,376
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.