Home / 146,584-313,904

Finding the Third Proportional to 146,584 and 313,904

Calculator

Solution

The third proportional to 146,584 and 313,904 is: 672,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,584 : 313,904 = 313,904 : x
  2. Step 2: Convert to fraction form
    146,584/313,904 = 313,904/x
  3. Step 3: Cross multiply
    146,584x = 313,904 × 313,904
  4. Step 4: Simplify right side
    146,584x = 98,535,721,216
  5. Step 5: Solve for x
    x = 98,535,721,216/146,584
  6. Step 6: Final answer
    x = 672,213.35

Related Problems

Find third proportional to 73,292 and 156,952
Half scale
Find third proportional to 293,168 and 627,808
Double scale
Find third proportional to 146,586 and 313,908
Similar ratio
Find third proportional to 219,876 and 470,856
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.