Home / 146,256-213,841

Finding the Third Proportional to 146,256 and 213,841

Calculator

Solution

The third proportional to 146,256 and 213,841 is: 312,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,256 : 213,841 = 213,841 : x
  2. Step 2: Convert to fraction form
    146,256/213,841 = 213,841/x
  3. Step 3: Cross multiply
    146,256x = 213,841 × 213,841
  4. Step 4: Simplify right side
    146,256x = 45,727,973,281
  5. Step 5: Solve for x
    x = 45,727,973,281/146,256
  6. Step 6: Final answer
    x = 312,657.08

Related Problems

Find third proportional to 73,128 and 106,920.50
Half scale
Find third proportional to 292,512 and 427,682
Double scale
Find third proportional to 146,258 and 213,844
Similar ratio
Find third proportional to 219,384 and 320,761.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.