Home / 596-1,022

Finding the Third Proportional to 596 and 1,022

Calculator

Solution

The third proportional to 596 and 1,022 is: 1,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    596 : 1,022 = 1,022 : x
  2. Step 2: Convert to fraction form
    596/1,022 = 1,022/x
  3. Step 3: Cross multiply
    596x = 1,022 × 1,022
  4. Step 4: Simplify right side
    596x = 1,044,484
  5. Step 5: Solve for x
    x = 1,044,484/596
  6. Step 6: Final answer
    x = 1,752.49

Related Problems

Find third proportional to 298 and 511
Half scale
Find third proportional to 1,192 and 2,044
Double scale
Find third proportional to 598 and 1,025
Similar ratio
Find third proportional to 894 and 1,533
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.