Home / 234-460.50

Finding the Third Proportional to 234 and 460.50

Calculator

Solution

The third proportional to 234 and 460.50 is: 906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234 : 460.50 = 460.50 : x
  2. Step 2: Convert to fraction form
    234/460.50 = 460.50/x
  3. Step 3: Cross multiply
    234x = 460.50 × 460.50
  4. Step 4: Simplify right side
    234x = 212,060.25
  5. Step 5: Solve for x
    x = 212,060.25/234
  6. Step 6: Final answer
    x = 906.24

Related Problems

Find third proportional to 117 and 230.25
Half scale
Find third proportional to 468 and 921
Double scale
Find third proportional to 236 and 464
Similar ratio
Find third proportional to 351 and 690.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.