Home / 137,976-207,771

Finding the Third Proportional to 137,976 and 207,771

Calculator

Solution

The third proportional to 137,976 and 207,771 is: 312,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,976 : 207,771 = 207,771 : x
  2. Step 2: Convert to fraction form
    137,976/207,771 = 207,771/x
  3. Step 3: Cross multiply
    137,976x = 207,771 × 207,771
  4. Step 4: Simplify right side
    137,976x = 43,168,788,441
  5. Step 5: Solve for x
    x = 43,168,788,441/137,976
  6. Step 6: Final answer
    x = 312,871.72

Related Problems

Find third proportional to 68,988 and 103,885.50
Half scale
Find third proportional to 275,952 and 415,542
Double scale
Find third proportional to 137,978 and 207,774
Similar ratio
Find third proportional to 206,964 and 311,656.50
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.