Home / 138,102-213,258

Finding the Third Proportional to 138,102 and 213,258

Calculator

Solution

The third proportional to 138,102 and 213,258 is: 329,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,102 : 213,258 = 213,258 : x
  2. Step 2: Convert to fraction form
    138,102/213,258 = 213,258/x
  3. Step 3: Cross multiply
    138,102x = 213,258 × 213,258
  4. Step 4: Simplify right side
    138,102x = 45,478,974,564
  5. Step 5: Solve for x
    x = 45,478,974,564/138,102
  6. Step 6: Final answer
    x = 329,314.38

Related Problems

Find third proportional to 69,051 and 106,629
Half scale
Find third proportional to 276,204 and 426,516
Double scale
Find third proportional to 138,104 and 213,261
Similar ratio
Find third proportional to 207,153 and 319,887
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.