Home / 142,920-313,866

Finding the Third Proportional to 142,920 and 313,866

Calculator

Solution

The third proportional to 142,920 and 313,866 is: 689,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,920 : 313,866 = 313,866 : x
  2. Step 2: Convert to fraction form
    142,920/313,866 = 313,866/x
  3. Step 3: Cross multiply
    142,920x = 313,866 × 313,866
  4. Step 4: Simplify right side
    142,920x = 98,511,865,956
  5. Step 5: Solve for x
    x = 98,511,865,956/142,920
  6. Step 6: Final answer
    x = 689,279.78

Related Problems

Find third proportional to 71,460 and 156,933
Half scale
Find third proportional to 285,840 and 627,732
Double scale
Find third proportional to 142,922 and 313,870
Similar ratio
Find third proportional to 214,380 and 470,799
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.