Home / 409,664-596,484

Finding the Third Proportional to 409,664 and 596,484

Calculator

Solution

The third proportional to 409,664 and 596,484 is: 868,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,664 : 596,484 = 596,484 : x
  2. Step 2: Convert to fraction form
    409,664/596,484 = 596,484/x
  3. Step 3: Cross multiply
    409,664x = 596,484 × 596,484
  4. Step 4: Simplify right side
    409,664x = 355,793,162,256
  5. Step 5: Solve for x
    x = 355,793,162,256/409,664
  6. Step 6: Final answer
    x = 868,499.95

Related Problems

Find third proportional to 204,832 and 298,242
Half scale
Find third proportional to 819,328 and 1,192,968
Double scale
Find third proportional to 409,666 and 596,487
Similar ratio
Find third proportional to 614,496 and 894,726
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.