Home / 409-546

Finding the Third Proportional to 409 and 546

Calculator

Solution

The third proportional to 409 and 546 is: 728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 546 = 546 : x
  2. Step 2: Convert to fraction form
    409/546 = 546/x
  3. Step 3: Cross multiply
    409x = 546 × 546
  4. Step 4: Simplify right side
    409x = 298,116
  5. Step 5: Solve for x
    x = 298,116/409
  6. Step 6: Final answer
    x = 728.89

Related Problems

Find third proportional to 204.50 and 273
Half scale
Find third proportional to 818 and 1,092
Double scale
Find third proportional to 411 and 549
Similar ratio
Find third proportional to 613.50 and 819
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.