Home / 202,138-313,863

Finding the Third Proportional to 202,138 and 313,863

Calculator

Solution

The third proportional to 202,138 and 313,863 is: 487,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,138 : 313,863 = 313,863 : x
  2. Step 2: Convert to fraction form
    202,138/313,863 = 313,863/x
  3. Step 3: Cross multiply
    202,138x = 313,863 × 313,863
  4. Step 4: Simplify right side
    202,138x = 98,509,982,769
  5. Step 5: Solve for x
    x = 98,509,982,769/202,138
  6. Step 6: Final answer
    x = 487,340.25

Related Problems

Find third proportional to 101,069 and 156,931.50
Half scale
Find third proportional to 404,276 and 627,726
Double scale
Find third proportional to 202,140 and 313,866
Similar ratio
Find third proportional to 303,207 and 470,794.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.