Home / 200,396-417,323

Finding the Third Proportional to 200,396 and 417,323

Calculator

Solution

The third proportional to 200,396 and 417,323 is: 869,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,396 : 417,323 = 417,323 : x
  2. Step 2: Convert to fraction form
    200,396/417,323 = 417,323/x
  3. Step 3: Cross multiply
    200,396x = 417,323 × 417,323
  4. Step 4: Simplify right side
    200,396x = 174,158,486,329
  5. Step 5: Solve for x
    x = 174,158,486,329/200,396
  6. Step 6: Final answer
    x = 869,071.67

Related Problems

Find third proportional to 100,198 and 208,661.50
Half scale
Find third proportional to 400,792 and 834,646
Double scale
Find third proportional to 200,398 and 417,327
Similar ratio
Find third proportional to 300,594 and 625,984.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.