Home / 391.50-546

Finding the Third Proportional to 391.50 and 546

Calculator

Solution

The third proportional to 391.50 and 546 is: 761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.50 : 546 = 546 : x
  2. Step 2: Convert to fraction form
    391.50/546 = 546/x
  3. Step 3: Cross multiply
    391.50x = 546 × 546
  4. Step 4: Simplify right side
    391.50x = 298,116
  5. Step 5: Solve for x
    x = 298,116/391.50
  6. Step 6: Final answer
    x = 761.47

Related Problems

Find third proportional to 195.75 and 273
Half scale
Find third proportional to 783 and 1,092
Double scale
Find third proportional to 394 and 549
Similar ratio
Find third proportional to 587.25 and 819
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.