Home / 121-189.63

Finding the Third Proportional to 121 and 189.63

Calculator

Solution

The third proportional to 121 and 189.63 is: 297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121 : 189.63 = 189.63 : x
  2. Step 2: Convert to fraction form
    121/189.63 = 189.63/x
  3. Step 3: Cross multiply
    121x = 189.63 × 189.63
  4. Step 4: Simplify right side
    121x = 35,957.64
  5. Step 5: Solve for x
    x = 35,957.64/121
  6. Step 6: Final answer
    x = 297.17

Related Problems

Find third proportional to 60.50 and 94.81
Half scale
Find third proportional to 242 and 379.25
Double scale
Find third proportional to 123 and 193
Similar ratio
Find third proportional to 181.50 and 284.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.