Home / 138,237-208,622

Finding the Third Proportional to 138,237 and 208,622

Calculator

Solution

The third proportional to 138,237 and 208,622 is: 314,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,237 : 208,622 = 208,622 : x
  2. Step 2: Convert to fraction form
    138,237/208,622 = 208,622/x
  3. Step 3: Cross multiply
    138,237x = 208,622 × 208,622
  4. Step 4: Simplify right side
    138,237x = 43,523,138,884
  5. Step 5: Solve for x
    x = 43,523,138,884/138,237
  6. Step 6: Final answer
    x = 314,844.35

Related Problems

Find third proportional to 69,118.50 and 104,311
Half scale
Find third proportional to 276,474 and 417,244
Double scale
Find third proportional to 138,239 and 208,625
Similar ratio
Find third proportional to 207,355.50 and 312,933
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.