Home / 146,548-313,824

Finding the Third Proportional to 146,548 and 313,824

Calculator

Solution

The third proportional to 146,548 and 313,824 is: 672,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,548 : 313,824 = 313,824 : x
  2. Step 2: Convert to fraction form
    146,548/313,824 = 313,824/x
  3. Step 3: Cross multiply
    146,548x = 313,824 × 313,824
  4. Step 4: Simplify right side
    146,548x = 98,485,502,976
  5. Step 5: Solve for x
    x = 98,485,502,976/146,548
  6. Step 6: Final answer
    x = 672,035.80

Related Problems

Find third proportional to 73,274 and 156,912
Half scale
Find third proportional to 293,096 and 627,648
Double scale
Find third proportional to 146,550 and 313,828
Similar ratio
Find third proportional to 219,822 and 470,736
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.