Home / 362.25-778.50

Finding the Third Proportional to 362.25 and 778.50

Calculator

Solution

The third proportional to 362.25 and 778.50 is: 1,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.25 : 778.50 = 778.50 : x
  2. Step 2: Convert to fraction form
    362.25/778.50 = 778.50/x
  3. Step 3: Cross multiply
    362.25x = 778.50 × 778.50
  4. Step 4: Simplify right side
    362.25x = 606,062.25
  5. Step 5: Solve for x
    x = 606,062.25/362.25
  6. Step 6: Final answer
    x = 1,673.05

Related Problems

Find third proportional to 181.13 and 389.25
Half scale
Find third proportional to 724.50 and 1,557
Double scale
Find third proportional to 364 and 783
Similar ratio
Find third proportional to 543.38 and 1,167.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.