Home / 138,154-209,934

Finding the Third Proportional to 138,154 and 209,934

Calculator

Solution

The third proportional to 138,154 and 209,934 is: 319,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,154 : 209,934 = 209,934 : x
  2. Step 2: Convert to fraction form
    138,154/209,934 = 209,934/x
  3. Step 3: Cross multiply
    138,154x = 209,934 × 209,934
  4. Step 4: Simplify right side
    138,154x = 44,072,284,356
  5. Step 5: Solve for x
    x = 44,072,284,356/138,154
  6. Step 6: Final answer
    x = 319,008.38

Related Problems

Find third proportional to 69,077 and 104,967
Half scale
Find third proportional to 276,308 and 419,868
Double scale
Find third proportional to 138,156 and 209,937
Similar ratio
Find third proportional to 207,231 and 314,901
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.