Home / 814.50-1,730.25

Finding the Third Proportional to 814.50 and 1,730.25

Calculator

Solution

The third proportional to 814.50 and 1,730.25 is: 3,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.50 : 1,730.25 = 1,730.25 : x
  2. Step 2: Convert to fraction form
    814.50/1,730.25 = 1,730.25/x
  3. Step 3: Cross multiply
    814.50x = 1,730.25 × 1,730.25
  4. Step 4: Simplify right side
    814.50x = 2,993,765.06
  5. Step 5: Solve for x
    x = 2,993,765.06/814.50
  6. Step 6: Final answer
    x = 3,675.59

Related Problems

Find third proportional to 407.25 and 865.13
Half scale
Find third proportional to 1,629 and 3,460.50
Double scale
Find third proportional to 817 and 1,734
Similar ratio
Find third proportional to 1,221.75 and 2,595.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.