Home / 583-857

Finding the Third Proportional to 583 and 857

Calculator

Solution

The third proportional to 583 and 857 is: 1,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    583 : 857 = 857 : x
  2. Step 2: Convert to fraction form
    583/857 = 857/x
  3. Step 3: Cross multiply
    583x = 857 × 857
  4. Step 4: Simplify right side
    583x = 734,449
  5. Step 5: Solve for x
    x = 734,449/583
  6. Step 6: Final answer
    x = 1,259.78

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.