Home / 135,606-209,970

Finding the Third Proportional to 135,606 and 209,970

Calculator

Solution

The third proportional to 135,606 and 209,970 is: 325,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,606 : 209,970 = 209,970 : x
  2. Step 2: Convert to fraction form
    135,606/209,970 = 209,970/x
  3. Step 3: Cross multiply
    135,606x = 209,970 × 209,970
  4. Step 4: Simplify right side
    135,606x = 44,087,400,900
  5. Step 5: Solve for x
    x = 44,087,400,900/135,606
  6. Step 6: Final answer
    x = 325,113.94

Related Problems

Find third proportional to 67,803 and 104,985
Half scale
Find third proportional to 271,212 and 419,940
Double scale
Find third proportional to 135,608 and 209,973
Similar ratio
Find third proportional to 203,409 and 314,955
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.