Home / 284,119-473,471

Finding the Third Proportional to 284,119 and 473,471

Calculator

Solution

The third proportional to 284,119 and 473,471 is: 789,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,119 : 473,471 = 473,471 : x
  2. Step 2: Convert to fraction form
    284,119/473,471 = 473,471/x
  3. Step 3: Cross multiply
    284,119x = 473,471 × 473,471
  4. Step 4: Simplify right side
    284,119x = 224,174,787,841
  5. Step 5: Solve for x
    x = 224,174,787,841/284,119
  6. Step 6: Final answer
    x = 789,017.24

Related Problems

Find third proportional to 142,059.50 and 236,735.50
Half scale
Find third proportional to 568,238 and 946,942
Double scale
Find third proportional to 284,121 and 473,474
Similar ratio
Find third proportional to 426,178.50 and 710,206.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.