Home / 463-1,014

Finding the Third Proportional to 463 and 1,014

Calculator

Solution

The third proportional to 463 and 1,014 is: 2,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463 : 1,014 = 1,014 : x
  2. Step 2: Convert to fraction form
    463/1,014 = 1,014/x
  3. Step 3: Cross multiply
    463x = 1,014 × 1,014
  4. Step 4: Simplify right side
    463x = 1,028,196
  5. Step 5: Solve for x
    x = 1,028,196/463
  6. Step 6: Final answer
    x = 2,220.73

Related Problems

Find third proportional to 231.50 and 507
Half scale
Find third proportional to 926 and 2,028
Double scale
Find third proportional to 465 and 1,018
Similar ratio
Find third proportional to 694.50 and 1,521
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.