Home / 213,656-317,190

Finding the Third Proportional to 213,656 and 317,190

Calculator

Solution

The third proportional to 213,656 and 317,190 is: 470,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,656 : 317,190 = 317,190 : x
  2. Step 2: Convert to fraction form
    213,656/317,190 = 317,190/x
  3. Step 3: Cross multiply
    213,656x = 317,190 × 317,190
  4. Step 4: Simplify right side
    213,656x = 100,609,496,100
  5. Step 5: Solve for x
    x = 100,609,496,100/213,656
  6. Step 6: Final answer
    x = 470,894.78

Related Problems

Find third proportional to 106,828 and 158,595
Half scale
Find third proportional to 427,312 and 634,380
Double scale
Find third proportional to 213,658 and 317,193
Similar ratio
Find third proportional to 320,484 and 475,785
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.