Home / 464.25-691.31

Finding the Third Proportional to 464.25 and 691.31

Calculator

Solution

The third proportional to 464.25 and 691.31 is: 1,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.25 : 691.31 = 691.31 : x
  2. Step 2: Convert to fraction form
    464.25/691.31 = 691.31/x
  3. Step 3: Cross multiply
    464.25x = 691.31 × 691.31
  4. Step 4: Simplify right side
    464.25x = 477,912.97
  5. Step 5: Solve for x
    x = 477,912.97/464.25
  6. Step 6: Final answer
    x = 1,029.43

Related Problems

Find third proportional to 232.13 and 345.66
Half scale
Find third proportional to 928.50 and 1,382.63
Double scale
Find third proportional to 466 and 694
Similar ratio
Find third proportional to 696.38 and 1,036.97
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.