Home / 546-1,146

Finding the Third Proportional to 546 and 1,146

Calculator

Solution

The third proportional to 546 and 1,146 is: 2,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    546 : 1,146 = 1,146 : x
  2. Step 2: Convert to fraction form
    546/1,146 = 1,146/x
  3. Step 3: Cross multiply
    546x = 1,146 × 1,146
  4. Step 4: Simplify right side
    546x = 1,313,316
  5. Step 5: Solve for x
    x = 1,313,316/546
  6. Step 6: Final answer
    x = 2,405.34

Related Problems

Find third proportional to 273 and 573
Half scale
Find third proportional to 1,092 and 2,292
Double scale
Find third proportional to 548 and 1,150
Similar ratio
Find third proportional to 819 and 1,719
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.