Home / 205,012-311,664

Finding the Third Proportional to 205,012 and 311,664

Calculator

Solution

The third proportional to 205,012 and 311,664 is: 473,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,012 : 311,664 = 311,664 : x
  2. Step 2: Convert to fraction form
    205,012/311,664 = 311,664/x
  3. Step 3: Cross multiply
    205,012x = 311,664 × 311,664
  4. Step 4: Simplify right side
    205,012x = 97,134,448,896
  5. Step 5: Solve for x
    x = 97,134,448,896/205,012
  6. Step 6: Final answer
    x = 473,798.85

Related Problems

Find third proportional to 102,506 and 155,832
Half scale
Find third proportional to 410,024 and 623,328
Double scale
Find third proportional to 205,014 and 311,667
Similar ratio
Find third proportional to 307,518 and 467,496
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.