Home / 205,633-280,140

Finding the Third Proportional to 205,633 and 280,140

Calculator

Solution

The third proportional to 205,633 and 280,140 is: 381,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,633 : 280,140 = 280,140 : x
  2. Step 2: Convert to fraction form
    205,633/280,140 = 280,140/x
  3. Step 3: Cross multiply
    205,633x = 280,140 × 280,140
  4. Step 4: Simplify right side
    205,633x = 78,478,419,600
  5. Step 5: Solve for x
    x = 78,478,419,600/205,633
  6. Step 6: Final answer
    x = 381,643.12

Related Problems

Find third proportional to 102,816.50 and 140,070
Half scale
Find third proportional to 411,266 and 560,280
Double scale
Find third proportional to 205,635 and 280,143
Similar ratio
Find third proportional to 308,449.50 and 420,210
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.