Home / 146,971-219,884

Finding the Third Proportional to 146,971 and 219,884

Calculator

Solution

The third proportional to 146,971 and 219,884 is: 328,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,971 : 219,884 = 219,884 : x
  2. Step 2: Convert to fraction form
    146,971/219,884 = 219,884/x
  3. Step 3: Cross multiply
    146,971x = 219,884 × 219,884
  4. Step 4: Simplify right side
    146,971x = 48,348,973,456
  5. Step 5: Solve for x
    x = 48,348,973,456/146,971
  6. Step 6: Final answer
    x = 328,969.48

Related Problems

Find third proportional to 73,485.50 and 109,942
Half scale
Find third proportional to 293,942 and 439,768
Double scale
Find third proportional to 146,973 and 219,887
Similar ratio
Find third proportional to 220,456.50 and 329,826
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.