Home / 462-1,014.75

Finding the Third Proportional to 462 and 1,014.75

Calculator

Solution

The third proportional to 462 and 1,014.75 is: 2,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 1,014.75 = 1,014.75 : x
  2. Step 2: Convert to fraction form
    462/1,014.75 = 1,014.75/x
  3. Step 3: Cross multiply
    462x = 1,014.75 × 1,014.75
  4. Step 4: Simplify right side
    462x = 1,029,717.56
  5. Step 5: Solve for x
    x = 1,029,717.56/462
  6. Step 6: Final answer
    x = 2,228.83

Related Problems

Find third proportional to 231 and 507.38
Half scale
Find third proportional to 924 and 2,029.50
Double scale
Find third proportional to 464 and 1,019
Similar ratio
Find third proportional to 693 and 1,522.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.