Home / 137,760-201,921

Finding the Third Proportional to 137,760 and 201,921

Calculator

Solution

The third proportional to 137,760 and 201,921 is: 295,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,760 : 201,921 = 201,921 : x
  2. Step 2: Convert to fraction form
    137,760/201,921 = 201,921/x
  3. Step 3: Cross multiply
    137,760x = 201,921 × 201,921
  4. Step 4: Simplify right side
    137,760x = 40,772,090,241
  5. Step 5: Solve for x
    x = 40,772,090,241/137,760
  6. Step 6: Final answer
    x = 295,964.65

Related Problems

Find third proportional to 68,880 and 100,960.50
Half scale
Find third proportional to 275,520 and 403,842
Double scale
Find third proportional to 137,762 and 201,924
Similar ratio
Find third proportional to 206,640 and 302,881.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.