Home / 264,410-402,811

Finding the Third Proportional to 264,410 and 402,811

Calculator

Solution

The third proportional to 264,410 and 402,811 is: 613,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,410 : 402,811 = 402,811 : x
  2. Step 2: Convert to fraction form
    264,410/402,811 = 402,811/x
  3. Step 3: Cross multiply
    264,410x = 402,811 × 402,811
  4. Step 4: Simplify right side
    264,410x = 162,256,701,721
  5. Step 5: Solve for x
    x = 162,256,701,721/264,410
  6. Step 6: Final answer
    x = 613,655.69

Related Problems

Find third proportional to 132,205 and 201,405.50
Half scale
Find third proportional to 528,820 and 805,622
Double scale
Find third proportional to 264,412 and 402,814
Similar ratio
Find third proportional to 396,615 and 604,216.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.