Home / 137,540-209,120

Finding the Third Proportional to 137,540 and 209,120

Calculator

Solution

The third proportional to 137,540 and 209,120 is: 317,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,540 : 209,120 = 209,120 : x
  2. Step 2: Convert to fraction form
    137,540/209,120 = 209,120/x
  3. Step 3: Cross multiply
    137,540x = 209,120 × 209,120
  4. Step 4: Simplify right side
    137,540x = 43,731,174,400
  5. Step 5: Solve for x
    x = 43,731,174,400/137,540
  6. Step 6: Final answer
    x = 317,952.41

Related Problems

Find third proportional to 68,770 and 104,560
Half scale
Find third proportional to 275,080 and 418,240
Double scale
Find third proportional to 137,542 and 209,123
Similar ratio
Find third proportional to 206,310 and 313,680
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.