Home / 313,586-471,084

Finding the Third Proportional to 313,586 and 471,084

Calculator

Solution

The third proportional to 313,586 and 471,084 is: 707,685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,586 : 471,084 = 471,084 : x
  2. Step 2: Convert to fraction form
    313,586/471,084 = 471,084/x
  3. Step 3: Cross multiply
    313,586x = 471,084 × 471,084
  4. Step 4: Simplify right side
    313,586x = 221,920,135,056
  5. Step 5: Solve for x
    x = 221,920,135,056/313,586
  6. Step 6: Final answer
    x = 707,685.08

Related Problems

Find third proportional to 156,793 and 235,542
Half scale
Find third proportional to 627,172 and 942,168
Double scale
Find third proportional to 313,588 and 471,087
Similar ratio
Find third proportional to 470,379 and 706,626
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.