Home / 317,200-463,144

Finding the Third Proportional to 317,200 and 463,144

Calculator

Solution

The third proportional to 317,200 and 463,144 is: 676,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,200 : 463,144 = 463,144 : x
  2. Step 2: Convert to fraction form
    317,200/463,144 = 463,144/x
  3. Step 3: Cross multiply
    317,200x = 463,144 × 463,144
  4. Step 4: Simplify right side
    317,200x = 214,502,364,736
  5. Step 5: Solve for x
    x = 214,502,364,736/317,200
  6. Step 6: Final answer
    x = 676,236.96

Related Problems

Find third proportional to 158,600 and 231,572
Half scale
Find third proportional to 634,400 and 926,288
Double scale
Find third proportional to 317,202 and 463,147
Similar ratio
Find third proportional to 475,800 and 694,716
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.