Home / 764-820

Finding the Third Proportional to 764 and 820

Calculator

Solution

The third proportional to 764 and 820 is: 880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    764 : 820 = 820 : x
  2. Step 2: Convert to fraction form
    764/820 = 820/x
  3. Step 3: Cross multiply
    764x = 820 × 820
  4. Step 4: Simplify right side
    764x = 672,400
  5. Step 5: Solve for x
    x = 672,400/764
  6. Step 6: Final answer
    x = 880.10

Related Problems

Find third proportional to 382 and 410
Half scale
Find third proportional to 1,528 and 1,640
Double scale
Find third proportional to 766 and 822
Similar ratio
Find third proportional to 1,146 and 1,230
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.