Home / 73.50-186

Finding the Third Proportional to 73.50 and 186

Calculator

Solution

The third proportional to 73.50 and 186 is: 470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.50 : 186 = 186 : x
  2. Step 2: Convert to fraction form
    73.50/186 = 186/x
  3. Step 3: Cross multiply
    73.50x = 186 × 186
  4. Step 4: Simplify right side
    73.50x = 34,596
  5. Step 5: Solve for x
    x = 34,596/73.50
  6. Step 6: Final answer
    x = 470.69

Related Problems

Find third proportional to 36.75 and 93
Half scale
Find third proportional to 147 and 372
Double scale
Find third proportional to 76 and 191
Similar ratio
Find third proportional to 110.25 and 279
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.