Home / 305-546

Finding the Third Proportional to 305 and 546

Calculator

Solution

The third proportional to 305 and 546 is: 977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305 : 546 = 546 : x
  2. Step 2: Convert to fraction form
    305/546 = 546/x
  3. Step 3: Cross multiply
    305x = 546 × 546
  4. Step 4: Simplify right side
    305x = 298,116
  5. Step 5: Solve for x
    x = 298,116/305
  6. Step 6: Final answer
    x = 977.43

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.