Home / 617-684.50

Finding the Third Proportional to 617 and 684.50

Calculator

Solution

The third proportional to 617 and 684.50 is: 759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    617 : 684.50 = 684.50 : x
  2. Step 2: Convert to fraction form
    617/684.50 = 684.50/x
  3. Step 3: Cross multiply
    617x = 684.50 × 684.50
  4. Step 4: Simplify right side
    617x = 468,540.25
  5. Step 5: Solve for x
    x = 468,540.25/617
  6. Step 6: Final answer
    x = 759.38

Related Problems

Find third proportional to 308.50 and 342.25
Half scale
Find third proportional to 1,234 and 1,369
Double scale
Find third proportional to 619 and 687
Similar ratio
Find third proportional to 925.50 and 1,026.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.