Home / 142,838-313,697

Finding the Third Proportional to 142,838 and 313,697

Calculator

Solution

The third proportional to 142,838 and 313,697 is: 688,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,838 : 313,697 = 313,697 : x
  2. Step 2: Convert to fraction form
    142,838/313,697 = 313,697/x
  3. Step 3: Cross multiply
    142,838x = 313,697 × 313,697
  4. Step 4: Simplify right side
    142,838x = 98,405,807,809
  5. Step 5: Solve for x
    x = 98,405,807,809/142,838
  6. Step 6: Final answer
    x = 688,932.97

Related Problems

Find third proportional to 71,419 and 156,848.50
Half scale
Find third proportional to 285,676 and 627,394
Double scale
Find third proportional to 142,840 and 313,701
Similar ratio
Find third proportional to 214,257 and 470,545.50
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.