Home / 122.34-189.77

Finding the Third Proportional to 122.34 and 189.77

Calculator

Solution

The third proportional to 122.34 and 189.77 is: 294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.34 : 189.77 = 189.77 : x
  2. Step 2: Convert to fraction form
    122.34/189.77 = 189.77/x
  3. Step 3: Cross multiply
    122.34x = 189.77 × 189.77
  4. Step 4: Simplify right side
    122.34x = 36,013.96
  5. Step 5: Solve for x
    x = 36,013.96/122.34
  6. Step 6: Final answer
    x = 294.37

Related Problems

Find third proportional to 61.17 and 94.89
Half scale
Find third proportional to 244.69 and 379.55
Double scale
Find third proportional to 124 and 193
Similar ratio
Find third proportional to 183.52 and 284.66
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.