Home / 313,640-471,165

Finding the Third Proportional to 313,640 and 471,165

Calculator

Solution

The third proportional to 313,640 and 471,165 is: 707,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,640 : 471,165 = 471,165 : x
  2. Step 2: Convert to fraction form
    313,640/471,165 = 471,165/x
  3. Step 3: Cross multiply
    313,640x = 471,165 × 471,165
  4. Step 4: Simplify right side
    313,640x = 221,996,457,225
  5. Step 5: Solve for x
    x = 221,996,457,225/313,640
  6. Step 6: Final answer
    x = 707,806.58

Related Problems

Find third proportional to 156,820 and 235,582.50
Half scale
Find third proportional to 627,280 and 942,330
Double scale
Find third proportional to 313,642 and 471,168
Similar ratio
Find third proportional to 470,460 and 706,747.50
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.