Home / 142,983-313,974

Finding the Third Proportional to 142,983 and 313,974

Calculator

Solution

The third proportional to 142,983 and 313,974 is: 689,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,983 : 313,974 = 313,974 : x
  2. Step 2: Convert to fraction form
    142,983/313,974 = 313,974/x
  3. Step 3: Cross multiply
    142,983x = 313,974 × 313,974
  4. Step 4: Simplify right side
    142,983x = 98,579,672,676
  5. Step 5: Solve for x
    x = 98,579,672,676/142,983
  6. Step 6: Final answer
    x = 689,450.30

Related Problems

Find third proportional to 71,491.50 and 156,987
Half scale
Find third proportional to 285,966 and 627,948
Double scale
Find third proportional to 142,985 and 313,978
Similar ratio
Find third proportional to 214,474.50 and 470,961
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.