Home / 592-827

Finding the Third Proportional to 592 and 827

Calculator

Solution

The third proportional to 592 and 827 is: 1,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    592 : 827 = 827 : x
  2. Step 2: Convert to fraction form
    592/827 = 827/x
  3. Step 3: Cross multiply
    592x = 827 × 827
  4. Step 4: Simplify right side
    592x = 683,929
  5. Step 5: Solve for x
    x = 683,929/592
  6. Step 6: Final answer
    x = 1,155.29

Related Problems

Find third proportional to 296 and 413.50
Half scale
Find third proportional to 1,184 and 1,654
Double scale
Find third proportional to 594 and 830
Similar ratio
Find third proportional to 888 and 1,240.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.