Home / 409,969-846,198

Finding the Third Proportional to 409,969 and 846,198

Calculator

Solution

The third proportional to 409,969 and 846,198 is: 1,746,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,969 : 846,198 = 846,198 : x
  2. Step 2: Convert to fraction form
    409,969/846,198 = 846,198/x
  3. Step 3: Cross multiply
    409,969x = 846,198 × 846,198
  4. Step 4: Simplify right side
    409,969x = 716,051,055,204
  5. Step 5: Solve for x
    x = 716,051,055,204/409,969
  6. Step 6: Final answer
    x = 1,746,598.05

Related Problems

Find third proportional to 204,984.50 and 423,099
Half scale
Find third proportional to 819,938 and 1,692,396
Double scale
Find third proportional to 409,971 and 846,202
Similar ratio
Find third proportional to 614,953.50 and 1,269,297
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.