Home / 966.94-1,578.38

Finding the Third Proportional to 966.94 and 1,578.38

Calculator

Solution

The third proportional to 966.94 and 1,578.38 is: 2,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.94 : 1,578.38 = 1,578.38 : x
  2. Step 2: Convert to fraction form
    966.94/1,578.38 = 1,578.38/x
  3. Step 3: Cross multiply
    966.94x = 1,578.38 × 1,578.38
  4. Step 4: Simplify right side
    966.94x = 2,491,267.64
  5. Step 5: Solve for x
    x = 2,491,267.64/966.94
  6. Step 6: Final answer
    x = 2,576.45

Related Problems

Find third proportional to 483.47 and 789.19
Half scale
Find third proportional to 1,933.88 and 3,156.75
Double scale
Find third proportional to 969 and 1,582
Similar ratio
Find third proportional to 1,450.41 and 2,367.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.