Home / 247-546

Finding the Third Proportional to 247 and 546

Calculator

Solution

The third proportional to 247 and 546 is: 1,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    247 : 546 = 546 : x
  2. Step 2: Convert to fraction form
    247/546 = 546/x
  3. Step 3: Cross multiply
    247x = 546 × 546
  4. Step 4: Simplify right side
    247x = 298,116
  5. Step 5: Solve for x
    x = 298,116/247
  6. Step 6: Final answer
    x = 1,206.95

Related Problems

Find third proportional to 123.50 and 273
Half scale
Find third proportional to 494 and 1,092
Double scale
Find third proportional to 249 and 550
Similar ratio
Find third proportional to 370.50 and 819
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.