Home / 284,736-412,416

Finding the Third Proportional to 284,736 and 412,416

Calculator

Solution

The third proportional to 284,736 and 412,416 is: 597,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,736 : 412,416 = 412,416 : x
  2. Step 2: Convert to fraction form
    284,736/412,416 = 412,416/x
  3. Step 3: Cross multiply
    284,736x = 412,416 × 412,416
  4. Step 4: Simplify right side
    284,736x = 170,086,957,056
  5. Step 5: Solve for x
    x = 170,086,957,056/284,736
  6. Step 6: Final answer
    x = 597,349.67

Related Problems

Find third proportional to 142,368 and 206,208
Half scale
Find third proportional to 569,472 and 824,832
Double scale
Find third proportional to 284,738 and 412,419
Similar ratio
Find third proportional to 427,104 and 618,624
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.