Home / 138,681-203,085

Finding the Third Proportional to 138,681 and 203,085

Calculator

Solution

The third proportional to 138,681 and 203,085 is: 297,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,681 : 203,085 = 203,085 : x
  2. Step 2: Convert to fraction form
    138,681/203,085 = 203,085/x
  3. Step 3: Cross multiply
    138,681x = 203,085 × 203,085
  4. Step 4: Simplify right side
    138,681x = 41,243,517,225
  5. Step 5: Solve for x
    x = 41,243,517,225/138,681
  6. Step 6: Final answer
    x = 297,398.47

Related Problems

Find third proportional to 69,340.50 and 101,542.50
Half scale
Find third proportional to 277,362 and 406,170
Double scale
Find third proportional to 138,683 and 203,088
Similar ratio
Find third proportional to 208,021.50 and 304,627.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.