Home / 190,811-280,382

Finding the Third Proportional to 190,811 and 280,382

Calculator

Solution

The third proportional to 190,811 and 280,382 is: 411,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,811 : 280,382 = 280,382 : x
  2. Step 2: Convert to fraction form
    190,811/280,382 = 280,382/x
  3. Step 3: Cross multiply
    190,811x = 280,382 × 280,382
  4. Step 4: Simplify right side
    190,811x = 78,614,065,924
  5. Step 5: Solve for x
    x = 78,614,065,924/190,811
  6. Step 6: Final answer
    x = 411,999.65

Related Problems

Find third proportional to 95,405.50 and 140,191
Half scale
Find third proportional to 381,622 and 560,764
Double scale
Find third proportional to 190,813 and 280,385
Similar ratio
Find third proportional to 286,216.50 and 420,573
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.