Home / 611-663.50

Finding the Third Proportional to 611 and 663.50

Calculator

Solution

The third proportional to 611 and 663.50 is: 720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    611 : 663.50 = 663.50 : x
  2. Step 2: Convert to fraction form
    611/663.50 = 663.50/x
  3. Step 3: Cross multiply
    611x = 663.50 × 663.50
  4. Step 4: Simplify right side
    611x = 440,232.25
  5. Step 5: Solve for x
    x = 440,232.25/611
  6. Step 6: Final answer
    x = 720.51

Related Problems

Find third proportional to 305.50 and 331.75
Half scale
Find third proportional to 1,222 and 1,327
Double scale
Find third proportional to 613 and 666
Similar ratio
Find third proportional to 916.50 and 995.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.