Home / 450.75-769.31

Finding the Third Proportional to 450.75 and 769.31

Calculator

Solution

The third proportional to 450.75 and 769.31 is: 1,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.75 : 769.31 = 769.31 : x
  2. Step 2: Convert to fraction form
    450.75/769.31 = 769.31/x
  3. Step 3: Cross multiply
    450.75x = 769.31 × 769.31
  4. Step 4: Simplify right side
    450.75x = 591,841.72
  5. Step 5: Solve for x
    x = 591,841.72/450.75
  6. Step 6: Final answer
    x = 1,313.02

Related Problems

Find third proportional to 225.38 and 384.66
Half scale
Find third proportional to 901.50 and 1,538.63
Double scale
Find third proportional to 453 and 773
Similar ratio
Find third proportional to 676.13 and 1,153.97
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.