Home / 711-1,584

Finding the Third Proportional to 711 and 1,584

Calculator

Solution

The third proportional to 711 and 1,584 is: 3,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    711 : 1,584 = 1,584 : x
  2. Step 2: Convert to fraction form
    711/1,584 = 1,584/x
  3. Step 3: Cross multiply
    711x = 1,584 × 1,584
  4. Step 4: Simplify right side
    711x = 2,509,056
  5. Step 5: Solve for x
    x = 2,509,056/711
  6. Step 6: Final answer
    x = 3,528.91

Related Problems

Find third proportional to 355.50 and 792
Half scale
Find third proportional to 1,422 and 3,168
Double scale
Find third proportional to 713 and 1,588
Similar ratio
Find third proportional to 1,066.50 and 2,376
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.