Home / 138,057-301,962

Finding the Third Proportional to 138,057 and 301,962

Calculator

Solution

The third proportional to 138,057 and 301,962 is: 660,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,057 : 301,962 = 301,962 : x
  2. Step 2: Convert to fraction form
    138,057/301,962 = 301,962/x
  3. Step 3: Cross multiply
    138,057x = 301,962 × 301,962
  4. Step 4: Simplify right side
    138,057x = 91,181,049,444
  5. Step 5: Solve for x
    x = 91,181,049,444/138,057
  6. Step 6: Final answer
    x = 660,459.44

Related Problems

Find third proportional to 69,028.50 and 150,981
Half scale
Find third proportional to 276,114 and 603,924
Double scale
Find third proportional to 138,059 and 301,966
Similar ratio
Find third proportional to 207,085.50 and 452,943
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.