Home / 530-820

Finding the Third Proportional to 530 and 820

Calculator

Solution

The third proportional to 530 and 820 is: 1,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    530 : 820 = 820 : x
  2. Step 2: Convert to fraction form
    530/820 = 820/x
  3. Step 3: Cross multiply
    530x = 820 × 820
  4. Step 4: Simplify right side
    530x = 672,400
  5. Step 5: Solve for x
    x = 672,400/530
  6. Step 6: Final answer
    x = 1,268.68

Related Problems

Find third proportional to 265 and 410
Half scale
Find third proportional to 1,060 and 1,640
Double scale
Find third proportional to 532 and 823
Similar ratio
Find third proportional to 795 and 1,230
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.