Home / 820-1,052

Finding the Third Proportional to 820 and 1,052

Calculator

Solution

The third proportional to 820 and 1,052 is: 1,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    820 : 1,052 = 1,052 : x
  2. Step 2: Convert to fraction form
    820/1,052 = 1,052/x
  3. Step 3: Cross multiply
    820x = 1,052 × 1,052
  4. Step 4: Simplify right side
    820x = 1,106,704
  5. Step 5: Solve for x
    x = 1,106,704/820
  6. Step 6: Final answer
    x = 1,349.64

Related Problems

Find third proportional to 410 and 526
Half scale
Find third proportional to 1,640 and 2,104
Double scale
Find third proportional to 822 and 1,055
Similar ratio
Find third proportional to 1,230 and 1,578
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.