Home / 123-317

Finding the Third Proportional to 123 and 317

Calculator

Solution

The third proportional to 123 and 317 is: 816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 317 = 317 : x
  2. Step 2: Convert to fraction form
    123/317 = 317/x
  3. Step 3: Cross multiply
    123x = 317 × 317
  4. Step 4: Simplify right side
    123x = 100,489
  5. Step 5: Solve for x
    x = 100,489/123
  6. Step 6: Final answer
    x = 816.98

Related Problems

Find third proportional to 61.50 and 158.50
Half scale
Find third proportional to 246 and 634
Double scale
Find third proportional to 125 and 322
Similar ratio
Find third proportional to 184.50 and 475.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.