Home / 264,205-409,269

Finding the Third Proportional to 264,205 and 409,269

Calculator

Solution

The third proportional to 264,205 and 409,269 is: 633,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,205 : 409,269 = 409,269 : x
  2. Step 2: Convert to fraction form
    264,205/409,269 = 409,269/x
  3. Step 3: Cross multiply
    264,205x = 409,269 × 409,269
  4. Step 4: Simplify right side
    264,205x = 167,501,114,361
  5. Step 5: Solve for x
    x = 167,501,114,361/264,205
  6. Step 6: Final answer
    x = 633,981.62

Related Problems

Find third proportional to 132,102.50 and 204,634.50
Half scale
Find third proportional to 528,410 and 818,538
Double scale
Find third proportional to 264,207 and 409,272
Similar ratio
Find third proportional to 396,307.50 and 613,903.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.