Home / 189.56-301.22

Finding the Third Proportional to 189.56 and 301.22

Calculator

Solution

The third proportional to 189.56 and 301.22 is: 478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.56 : 301.22 = 301.22 : x
  2. Step 2: Convert to fraction form
    189.56/301.22 = 301.22/x
  3. Step 3: Cross multiply
    189.56x = 301.22 × 301.22
  4. Step 4: Simplify right side
    189.56x = 90,732.74
  5. Step 5: Solve for x
    x = 90,732.74/189.56
  6. Step 6: Final answer
    x = 478.64

Related Problems

Find third proportional to 94.78 and 150.61
Half scale
Find third proportional to 379.13 and 602.44
Double scale
Find third proportional to 192 and 304
Similar ratio
Find third proportional to 284.34 and 451.83
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.