Home / 546.50-812

Finding the Third Proportional to 546.50 and 812

Calculator

Solution

The third proportional to 546.50 and 812 is: 1,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.50 : 812 = 812 : x
  2. Step 2: Convert to fraction form
    546.50/812 = 812/x
  3. Step 3: Cross multiply
    546.50x = 812 × 812
  4. Step 4: Simplify right side
    546.50x = 659,344
  5. Step 5: Solve for x
    x = 659,344/546.50
  6. Step 6: Final answer
    x = 1,206.48

Related Problems

Find third proportional to 273.25 and 406
Half scale
Find third proportional to 1,093 and 1,624
Double scale
Find third proportional to 549 and 815
Similar ratio
Find third proportional to 819.75 and 1,218
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.