Home / 73-146

Finding the Third Proportional to 73 and 146

Calculator

Solution

The third proportional to 73 and 146 is: 292

Step by Step Solution

  1. Step 1: Write the proportion equation
    73 : 146 = 146 : x
  2. Step 2: Convert to fraction form
    73/146 = 146/x
  3. Step 3: Cross multiply
    73x = 146 × 146
  4. Step 4: Simplify right side
    73x = 21,316
  5. Step 5: Solve for x
    x = 21,316/73
  6. Step 6: Final answer
    x = 292

Related Problems

Find third proportional to 36.50 and 73
Half scale
Find third proportional to 146 and 292
Double scale
Find third proportional to 75 and 150
Similar ratio
Find third proportional to 109.50 and 219
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.