Home / 137,970-208,035

Finding the Third Proportional to 137,970 and 208,035

Calculator

Solution

The third proportional to 137,970 and 208,035 is: 313,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,970 : 208,035 = 208,035 : x
  2. Step 2: Convert to fraction form
    137,970/208,035 = 208,035/x
  3. Step 3: Cross multiply
    137,970x = 208,035 × 208,035
  4. Step 4: Simplify right side
    137,970x = 43,278,561,225
  5. Step 5: Solve for x
    x = 43,278,561,225/137,970
  6. Step 6: Final answer
    x = 313,680.95

Related Problems

Find third proportional to 68,985 and 104,017.50
Half scale
Find third proportional to 275,940 and 416,070
Double scale
Find third proportional to 137,972 and 208,038
Similar ratio
Find third proportional to 206,955 and 312,052.50
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.